A torque measuring method and apparatus for a motor-operated valve including a valve driving mechanism operable to open and close the valve, a worm displacable by driving of the motor to operate the valve driving mechanism, and a spring cartridge having a plurality of belleville springs and disposed coaxially with the worm for compression by the worm. The method comprises obtaining basic data representing a relationship between the amounts of compression of the belleville springs and the torques exerted, measuring a displacement of the worm or the spring cartridge and acquiring, from the thus obtained displacement of the worm or the spring cartridge, a real amount of compression of the belleville springs in which an influence of a play of the spring cartridge has been removed, and substituting the real amount of compression for the amount of compression of the basic data to acquire a real torque corresponding to the real amount of compression.