According to the website, the mac installers for python 3 do not support OSX 10.4. However, the programming language itself should work for all versions of python including 3.3 (the latest stable version). But you will have to compile it from the source yourself.
here's the link for the python 3.3 source:
http://www.python.org/ftp/python/3.3.3/Python-3.3.3.tgz
the readme has the instructions for installing it once you unzip it.
you should also be able to install it using homebrew:
http://blog.manbolo.com/2013/02/04/how-to-install-python-3-and-pydev-on-osx
Hope that helps! I don't have OSX 10.4 so I was not able to test this. I'd be interested to know how it goes.