A gripping device for a drill string component handling device in a rock drill rig. Gripper element pairs are supported by a body and include at least one gripper element, being pivotally movable around a pivot joint, between a closed position, including a gripping position, and an open position. The pivotally movable gripper element is pivotal in a respective gripper plane forming a right angle to an axial direction. Each movable gripper element includes an actuation portion, which co-operates with a wedge device being movable in directions parallel to the axial direction for pivoting said movable gripper element. A method, a drill string component handling device for a rock drill rig and a rock drill rig including a drill string component handling device.