The park features tennis courts, a volleyball court, a softball field, playground areas, a fitness trail equipped with workout stations, and both small-group and large-group picnic shelters. In addition, Cleveland Park is the site of the Rock Quarry Garden, the Fernwood Nature Trail, the Vietnam Veterans Memorial and the Greenville Zoo.
Cleveland Park is home to a large playground, popular among families living in and visiting the city.
Runners utilize the Swamp Rabbit Trail's beautiful route through Cleveland Park.
A memorial to Air Force pilot Rudolf Anderson Jr., the only casualty in the Cuban Missile Crisis, is located in Cleveland Park.
Large trees create a beautiful canopy along footpaths throughout the park.
All-weather fitness equipment can be found in the park.