Abstract: The invention is an engine starting mechanism comprising first and second frictional gripping members carried by a sleeve member mounted to the shaft of a starting motor. The first and second frictional gripping members are adapted to engage an engine flywheel disc which is beveled to provide angular disposed opposed faces. Upon initiation of rotation of the starter shaft by the starter motor, the first frictional gripping member is adapted to move along an axial spline between the sleeve member and the frictional member thereby engaging one face of the beveled engine flywheel disc. The second frictional gripping member is caused to move axially with respect to the first member by the same helical spline on the sleeve member, thereby gripping the opposite face of the engine flywheel disc and causing the rotary movement of the starter motor shaft to be imparted to the flywheel disc.