A bone clamp for securing a surgical instrument to a bone including a body on which the instrument can be mounted, a first and second contacting arms, each of which has a first end that is pivotally connected to the body, and a second end for gripping the bone, whenever the first and second contacting arms are connected to the body at or towards opposite ends thereof so that, when the body is positioned adjacent to the bone, the arms can grip the bone on opposite surfaces thereof, and an actuator which can be moved between engaged and disengaged positions. When the actuator is in its disengaged position, the contacting arms can pivot independently with respect to each other, and when the actuator is in its engaged position, the pivoting movement of one contact arm is accompanied by approximately equal pivoting movement of the other contact arm in the opposite direction.