A utility cover system which includes an outer frame having an opening defined by an inner tapered edge, and a wedge cover plate formed of a resilient material having an outer tapered edge that fits within the opening of the outer frame. The outer frame preferably has an inner segment and an outer segment, wherein the outer segment is thinner than the inner segment. The cover plate is sufficiently flexible to be removably positionable into engagement with the outer frame by passing through the outer frame opening.