The L-shape park is bordered to the north by Lake Washington and the Stan Sayres Memorial Park/Mount Baker Rowing and Sailing Center, the south by a ridge inline with S. Alaska St., the east by 46th Ave. S. and the west by 43rd Ave. S. along its northern segment and 38th Ave. S. along its southern segment, with its namesake, S. Genesee St., traveling east–west through the middle of it.
In the 1990s the Rainier Community Center was relocated across the street, from its previous home, onto Genesee Park at its westernmost edge.
The park features a nature trail/wild bird habitat plus a large picnic shelter and open grass area on its northern segment, a sand upper-field for soccer plus an artificial turf lower-field for soccer and football along with a fenced-in dog park through its central segment, a circular walkabout in its southwest segment, and three child play areas (one north of S. Genesee St. at 44th Ave. S., one south of S. Genesee St. at 43rd Ave. S. and one at the Rainier Community Center).
The two sports fields located just south of S. Genesee St. are equipped with stadium light poles to illuminate the field into the night as needed.
During the first week of August, Genesee Park serves as the main entrance to hydroplane races and aerobatics air show festivities, part of Seattle's summer celebration known as Seafair, dating back to the 1950s.