Puget Park is part of the West Duwamish Greenbelt. The West Duwamish Greenbelt is the largest greenbelt in the city and is home to fox, red-legged frogs, hawks, and bald eagles. The greenbelt encompasses the extended forest along the eastern slopes of West Seattle that is visible from I-5.

The park was a gift of the Puget Mill Co. who suggested the name that was adopted by the Park Board in 1912. For many years the park was officially listed as undeveloped and minimal maintenance was done. Various youth groups like the Boy Scouts were given permission to clear trails, build bridges, and camp in the park.