A stretcher clamp mountable on a gurney designed to be quickly opened for inserting a cylindrical stretcher handle and then quickly closed. When closed, the stretcher clamp remains in a closed, locked position regardless of bumps and jolts received when the gurney is moved across rough terrain. When the gurney reaches its destination, the novel stretcher clamps are easily and reliably openable to release the stretcher handle therefrom. Unlike stretcher clamps of the prior art, the stretcher clamp of the invention is not prone to jamming caused by bending or other distortions during transit. The clamp has two major components: an elongated latch handle and an elongated handle retainer, both rotatively mounted in a rigid, U-shaped frame or base. These two components are interconnected by a linkage assembly that is rotatively connected to the elongated latch handle and the elongated handle retainer and positioned therebetween.