The park is named after the influential family of James Pyke Thompson who owned it before it was acquired by Cardiff Council who continue to own and maintain the park.

[2] Located on a hill, there is a large mixture of trees and shrubs in the park which is bordered by flowering plants.

Thompson's Park no longer has a bowling green and pavilion, but has large open grassed areas and a surfaced network of paths.

The park holds a giant tree carving of the 'green man' (cut down to a stump in the summer of 2013) and a bronze statue of 'Joyance', which forms the centrepiece of the fountain.

Cardiff Bus services stop at the northern and southern end of the park.