Named after Frederick E. Greenwood, the first head master of the Moe High Sschool.
The park was an open recreation area at the front of Moe High School. When the school was amalgamated with the other two secondary schools (Yallourn and Newborough) to form Lowanna College in 1994, the school site was sold for residential development, the park area was reserved for recreation space.
Council sought a range of ideas for naming the Park and eventually settled on Greenwood Park.