The accepted answer is not incorrect, but it is incomplete. Also, the link it contains to the documentation no longer works, nor does the updated link in the a comment on that answer.
The current documentation can now be found here. The relevant bits of that doc are:
- ...
- In those directories, search for test_*.py or *_test.py files, imported by their test package name.
- From those files, collect test items:
- ...
- test prefixed test functions or methods inside Test prefixed test classes (without an __init__ method)
The key bit that is missing in the accepted answer is that not only must the class name start with Test and not have an __init__ method, but also, the name of the file containing the class MUST be of one of the forms test_*.py or *_test.py.
Where I got tripped up here, and I assume many others will too, is that I generally name my Python source files containing only a class definition to directly mirror the name of the class. So if my class is named MyClass, I normally put its code in a file named MyClass.py. I then put test code for my class in a file named TestMyClass.py. This won't work with PyTest. To let PyTest do its thing with my test class, I need to name the file for this class test_MyClass.py or MyClass_test.py. I chose the last form so that I generally add a '_test' suffix to the file names I'd otherwise choose that need to be named so that PyTest will parse them looking for tests.