Abstract: The compact power wrenching machine (10) has an elongated, rigid frame (11). A fluid-operated cylinder (20') having a reciprocating ram (20) is mounted at one end of the frame. A wrench (22), preferably a ratcheting-type, is rotatably mounted at the opposite end of the frame. A force-transferring mechanism (21) has a body which is movably mounted on the frame between the wrench and the ram. The ram is securely connected to the mechanism's body which supports the ratchet wrench for relative motion therebetween. In use, the body of the mechanism is moved by the ram, the ratchet wrench is rotated by the body of the mechanism, and the rotating wrench can also rotate a threaded fastener.