A game hoop apparatus includes a hoop member which is formed of a lightweight material. A resilient membrane is attached to the hoop member at selected locations by loop portions which are formed as part of the resilient membrane. A pair of spaced apart handle portions are mounted on the hoop member at selected locations, thereby allowing a user to grasp the apparatus using both hands in order to use the resilient member to rebound a ball which has been propelled by another player having an identical apparatus.