A surgical instrument container assembly includes a container and a handle assembly. The handle assembly includes at least one wire handle pivotally coupled with the container. A handle grip has a longitudinally extending opening. A portion of the wire handle is positioned radially within the opening. The handle grip has an outer surface with an elliptical cross sectional shape, and a plurality of laterally spaced and longitudinally extending ribs on the outer surface. The handle grip is preferably formed of an elastomeric material.