Parents who have 3, 4, or 5-year old children with a domicile registered in Kawasaki City, and the child goes to a private kindergarten(authorized) can be subsidized for enrollment fee and day care fee. It covers not only private kindergartens in Kawasaki City but also those outside the city.
For more details about the amount of subsidies, application procedures, and so on, please see "Subsidies for private kindergartens (subsidies for children entering kindergarten)" on the site of Kawasaki Parenting Support.

Besides, if your child goes to an unauthorized preschool educational facility which is similar to kindergartens, you may not be covered by this system, but may be covered by "Subsidies for unauthorized preschool educational facility" separately.
For the details, please see "Subsidies for unauthorized preschool educational facility" on the site of Kawasaki Parenting Support.