A hybrid-type power transmission in which an internal combustion engine and an electric rotating machine are used as a source of power for driving an output shaft through a change-speed mechanism. In the hybrid power transmission, the operation of the electric rotating machine is controlled in such a manner that the rotation speed of a rotor-side rotary member is synchronized with the rotation speed of an input-side or output-side rotary member when the rotation speed of the rotor-side rotary member becomes higher in a predetermined difference than the rotation speed of the input-side or output-side rotary member in shifting operation of a sleeve coupled with the rotor-side rotary member.