That depends on the location and period.
Especially, if you go to mountain areas in Oita or Kumamoto, from Beppu to Aso, Kurokawa Hot Springs, you need to put on snow tires. In case of snow, even if you go to other areas, it's necessary for you to use snow tires. Normally, snow tires are necessary between December and the next April. However, that depends on snow and other conditions. Please check the weather report.