Chances are that it won't snow, but snow is not out of the question. More typically, you will have dry, crisp, days with temperatures hovering above freezing. Kyoto, situated in a basin surrounded by hills, can feel bitterly cold in January.

http://www.osaka.climatemps.com/

http://www.kyoto.climatemps.com/

http://www.tokyo.climatemps.com/