Explanation

From PEP 328

Relative imports use a module's __name__ attribute to determine that module's position in the package hierarchy. If the module's name does not contain any package information (e.g. it is set to '__main__') then relative imports are resolved as if the module were a top level module, regardless of where the module is actually located on the file system.

At some point PEP 338 conflicted with PEP 328:

... relative imports rely on __name__ to determine the current module's position in the package hierarchy. In a main module, the value of __name__ is always '__main__', so explicit relative imports will always fail (as they only work for a module inside a package)

and to address the issue, PEP 366 introduced the top level variable __package__:

By adding a new module level attribute, this PEP allows relative imports to work automatically if the module is executed using the -m switch. A small amount of boilerplate in the module itself will allow the relative imports to work when the file is executed by name. [...] When it [the attribute] is present, relative imports will be based on this attribute rather than the module __name__ attribute. [...] When the main module is specified by its filename, then the __package__ attribute will be set to None. [...] When the import system encounters an explicit relative import in a module without __package__ set (or with it set to None), it will calculate and store the correct value (__name__.rpartition('.')[0] for normal modules and __name__ for package initialisation modules)

(emphasis mine)

If the __name__ is '__main__', __name__.rpartition('.')[0] returns empty string. This is why there's empty string literal in the error description:

SystemError: Parent module '' not loaded, cannot perform relative import

The relevant part of the CPython's PyImport_ImportModuleLevelObject function:

if (PyDict_GetItem(interp->modules, package) == NULL) {
    PyErr_Format(PyExc_SystemError,
            "Parent module %R not loaded, cannot perform relative "
            "import", package);
    goto error;
}

CPython raises this exception if it was unable to find package (the name of the package) in interp->modules (accessible as sys.modules). Since sys.modules is "a dictionary that maps module names to modules which have already been loaded", it's now clear that the parent module must be explicitly absolute-imported before performing relative import.

Note: The patch from the issue 18018 has added another if block, which will be executed before the code above:

if (PyUnicode_CompareWithASCIIString(package, "") == 0) {
    PyErr_SetString(PyExc_ImportError,
            "attempted relative import with no known parent package");
    goto error;
} /* else if (PyDict_GetItem(interp->modules, package) == NULL) {
    ...
*/

If package (same as above) is empty string, the error message will be

ImportError: attempted relative import with no known parent package

However, you will only see this in Python 3.6 or newer.

Solution #1: Run your script using -m

Consider a directory (which is a Python package):

.
├── package
│   ├── __init__.py
│   ├── module.py
│   └── standalone.py

All of the files in package begin with the same 2 lines of code:

from pathlib import Path
print('Running' if __name__ == '__main__' else 'Importing', Path(__file__).resolve())

I'm including these two lines only to make the order of operations obvious. We can ignore them completely, since they don't affect the execution.

__init__.py and module.py contain only those two lines (i.e., they are effectively empty).

standalone.py additionally attempts to import module.py via relative import:

from . import module  # explicit relative import

We're well aware that /path/to/python/interpreter package/standalone.py will fail. However, we can run the module with the -m command line option that will "search sys.path for the named module and execute its contents as the __main__ module":

vaultah@base:~$ python3 -i -m package.standalone
Importing /home/vaultah/package/__init__.py
Running /home/vaultah/package/standalone.py
Importing /home/vaultah/package/module.py
>>> __file__
'/home/vaultah/package/standalone.py'
>>> __package__
'package'
>>> # The __package__ has been correctly set and module.py has been imported.
... # What's inside sys.modules?
... import sys
>>> sys.modules['__main__']
<module 'package.standalone' from '/home/vaultah/package/standalone.py'>
>>> sys.modules['package.module']
<module 'package.module' from '/home/vaultah/package/module.py'>
>>> sys.modules['package']
<module 'package' from '/home/vaultah/package/__init__.py'>

-m does all the importing stuff for you and automatically sets __package__, but you can do that yourself in the

Solution #2: Set __package__ manually

Please treat it as a proof of concept rather than an actual solution. It isn't well-suited for use in real-world code.

PEP 366 has a workaround to this problem, however, it's incomplete, because setting __package__ alone is not enough. You're going to need to import at least N preceding packages in the module hierarchy, where N is the number of parent directories (relative to the directory of the script) that will be searched for the module being imported.

Thus,

1. Add the parent directory of the Nth predecessor of the current module to sys.path

2. Remove the current file's directory from sys.path

3. Import the parent module of the current module using its fully-qualified name

4. Set __package__ to the fully-qualified name from 2

5. Perform the relative import

I'll borrow files from the Solution #1 and add some more subpackages:

package
├── __init__.py
├── module.py
└── subpackage
    ├── __init__.py
    └── subsubpackage
        ├── __init__.py
        └── standalone.py

This time standalone.py will import module.py from the package package using the following relative import

from ... import module  # N = 3

We'll need to precede that line with the boilerplate code, to make it work.

import sys
from pathlib import Path

if __name__ == '__main__' and __package__ is None:
    file = Path(__file__).resolve()
    parent, top = file.parent, file.parents[3]

    sys.path.append(str(top))
    try:
        sys.path.remove(str(parent))
    except ValueError: # Already removed
        pass

    import package.subpackage.subsubpackage
    __package__ = 'package.subpackage.subsubpackage'

from ... import module # N = 3

It allows us to execute standalone.py by filename:

vaultah@base:~$ python3 package/subpackage/subsubpackage/standalone.py
Running /home/vaultah/package/subpackage/subsubpackage/standalone.py
Importing /home/vaultah/package/__init__.py
Importing /home/vaultah/package/subpackage/__init__.py
Importing /home/vaultah/package/subpackage/subsubpackage/__init__.py
Importing /home/vaultah/package/module.py

A more general solution wrapped in a function can be found here. Example usage:

if __name__ == '__main__' and __package__ is None:
    import_parents(level=3) # N = 3

from ... import module
from ...module.submodule import thing

Solution #3: Use absolute imports and setuptools

The steps are -

1. Replace explicit relative imports with equivalent absolute imports

2. Install package to make it importable

For instance, the directory structure may be as follows

.
├── project
│   ├── package
│   │   ├── __init__.py
│   │   ├── module.py
│   │   └── standalone.py
│   └── setup.py

where setup.py is

from setuptools import setup, find_packages
setup(
    name = 'your_package_name',
    packages = find_packages(),
)

The rest of the files were borrowed from the Solution #1.

Installation will allow you to import the package regardless of your working directory (assuming there'll be no naming issues).

We can modify standalone.py to use this advantage (step 1):

from package import module  # absolute import

Change your working directory to project and run /path/to/python/interpreter setup.py install --user (--user installs the package in your site-packages directory) (step 2):

vaultah@base:~$ cd project
vaultah@base:~/project$ python3 setup.py install --user

Let's verify that it's now possible to run standalone.py as a script:

vaultah@base:~/project$ python3 -i package/standalone.py
Running /home/vaultah/project/package/standalone.py
Importing /home/vaultah/.local/lib/python3.6/site-packages/your_package_name-0.0.0-py3.6.egg/package/__init__.py
Importing /home/vaultah/.local/lib/python3.6/site-packages/your_package_name-0.0.0-py3.6.egg/package/module.py
>>> module
<module 'package.module' from '/home/vaultah/.local/lib/python3.6/site-packages/your_package_name-0.0.0-py3.6.egg/package/module.py'>
>>> import sys
>>> sys.modules['package']
<module 'package' from '/home/vaultah/.local/lib/python3.6/site-packages/your_package_name-0.0.0-py3.6.egg/package/__init__.py'>
>>> sys.modules['package.module']
<module 'package.module' from '/home/vaultah/.local/lib/python3.6/site-packages/your_package_name-0.0.0-py3.6.egg/package/module.py'>

Note: If you decide to go down this route, you'd be better off using virtual environments to install packages in isolation.

Solution #4: Use absolute imports and some boilerplate code

Frankly, the installation is not necessary - you could add some boilerplate code to your script to make absolute imports work.

I'm going to borrow files from Solution #1 and change standalone.py:

1. Add the parent directory of package to sys.path before attempting to import anything from package using absolute imports:

   import sys
   from pathlib import Path # if you haven't already done so
   file = Path(__file__).resolve()
   parent, root = file.parent, file.parents[1]
   sys.path.append(str(root))
   
   # Additionally remove the current file's directory from sys.path
   try:
       sys.path.remove(str(parent))
   except ValueError: # Already removed
       pass
   

2. Replace the relative import by the absolute import:

   from package import module  # absolute import
   

standalone.py runs without problems:

vaultah@base:~$ python3 -i package/standalone.py
Running /home/vaultah/package/standalone.py
Importing /home/vaultah/package/__init__.py
Importing /home/vaultah/package/module.py
>>> module
<module 'package.module' from '/home/vaultah/package/module.py'>
>>> import sys
>>> sys.modules['package']
<module 'package' from '/home/vaultah/package/__init__.py'>
>>> sys.modules['package.module']
<module 'package.module' from '/home/vaultah/package/module.py'>

I feel that I should warn you: try not to do this, especially if your project has a complex structure.

As a side note, PEP 8 recommends the use of absolute imports, but states that in some scenarios explicit relative imports are acceptable:

Absolute imports are recommended, as they are usually more readable and tend to be better behaved (or at least give better error messages). [...] However, explicit relative imports are an acceptable alternative to absolute imports, especially when dealing with complex package layouts where using absolute imports would be unnecessarily verbose.

This may be a bit outdated, but maybe someone else will benefit of my answer. Since python2 und python3 have different default import behavior, you have to determine between these two python versions.

Python 2.X The default behavior for import models is to look up first the relative and then the absolute search path order. Therefore it should work.

However, in Python 3.X the default behavior for import models is to look for the model only in the absolute paths (called absolute imports). The current package core gets skipped and since the module db cannot be found anywhere else in the sys.path search path, it throws an error. To resolve this issue you have to use the import statement with dots from . import models to make clear that you are trying to import from a relative directory.

If you are interested to learn more about importing python modules, I suggest you to start your research with the following key words: module search path, python package import and relative package imports