Abstract: A screw-gripping screwdriver includes a handle, a shaft composed of two blade members, a sleeve which is disposed coaxially about the blade members, and a tip. The blade members have inclined surfaces which cooperate with the sleeve so that, during movement of the sleeve along the blade members, a camming action occurs so that a relatively large movement of the sleeve causes a relatively small movement of the blade tips. In a preferred embodiment, each blade tip is an L-shaped portion, which in a first position of the sleeve adjacent to the handle, cooperates with the other one of the L-shaped portions to form a generally cruciform shape suitable for use with a Phillips head screw. In a second position, the sleeve has cammed the blade members toward one another so that the L-shaped portions are in frictional engagement with the interior walls of a cruciform opening in a Phillips head screw. In another embodiment, the blade tips are generally rectangular members suitable for use with a slot head screw.