A medical table and clamp apparatus provides a medical table having sides and at least one rail extending along a side. A specially configured clamp travels along the rail, the clamp having a non metallic clamp body. The clamp body has a pair of spaced apart appendages with a recess therebetween. An opening such as a metallic, internally threaded sleeve extends through the body. The sleeve has one sleeve end portion in communication with the recess. An externally threaded shaft threadably engages the internally threaded sleeve. A spherically shaped bearing is mounted on one end. A pusher or pressure plate is mounted on the spherically shaped bearing of the shaft with a connection. The pusher plate is supported by the shaft and the spherically shaped bearing within the recess. Each appendage has an end portion that grasps the rail. The pusher plate is movable toward or away from the sleeve.