A torque-detecting sleeve member is a cylindrical member that has first and second cylindrical torque-acting parts, a torsion signal generator and a torsion converter. Torque acts on the first and second cylindrical torque-acting parts in at least two points. The torsion signal generator is disposed axially between the first and second cylindrical torque-acting parts to at least partially form an external peripheral surface between the first and second cylindrical torque-acting parts. The torsion converter is operatively disposed between the torsion signal generator and at least one of the first and second cylindrical torque-acting parts for converting torsion transmitted from the at least one of the first and second cylindrical torque-acting parts to the torsion signal generator.