A torque sensing apparatus has a torque adjusting assembly and a non-contact sensing assembly. The torque adjusting assembly has a fitting unit, a regulating rod and a regulating seat. The non-contact sensing assembly has a first device and a second device. The regulating rod is rotatably mounted through the fitting unit. The regulating seat is movably mounted on the regulating rod and located outside the fixed plate of the fitting unit. The first device is mounted on the fixed plate. The second device is mounted on the regulating seat and kept from contacting the first device. The non-contact sensing assembly detects a change of the distance between the first device and the second device and generates a signal to a controller, and the controller gauges a torsional value of the torque adjusting assembly. Therefore, the non-contact sensing assembly is not abraded and increases the precision of the torque sensing apparatus.