A rotation transmission apparatus with a torque measurement device, comprising: a pair of rotary bodies (3, 4) which are provided in series with each other along a transmission path at a part between a damper for absorbing rotation fluctuation of an engine and a connection/disconnection portion of a clutch mechanism of a transmission in a transmission path of output torque of the engine from a crankshaft of the engine to a transmission mechanism of the transmission; a connection member which coaxially connects the pair of rotary bodies (3, 4) at rotation centers thereof so as to transmit torque; a first encoder which is fixed to one of the pair of rotary bodies and includes a detected portion which alternately changes characteristics in a circumferential direction; a second encoder which is fixed to the other of the pair of rotary bodies and includes a detected portion which alternately changes characteristics in a circumferential direction; a first sensor which is supported on a part which is non-rotatable during use while a detecting portion of the first sensor faces the detected portion of the first encoder, and is configured to change an output signal according to a characteristic change of the detected portion of the first encoder which faces the detecting portion of the first sensor; and a second sensor which is supported on a part which is non-rotatable during use while a detecting portion of the second sensor faces the detected portion of the second encoder, and is configured to change an output signal according to a characteristic change of the detected portion of the second encoder which faces the detecting portion of the second sensor, wherein the output torque of the engine is measured based on a phase difference between the output signals of the first sensor and the second sensor, characterized in that the other of the pair of rotary bodies is a bottom plate portion of a cylindrical clutch cover having a bottom in which a tubular portion is provided on an opposite surface of a surface facing the one of the pair of rotary bodies, and the connection/disconnection portion of the clutch mechanism is configured by a clutch plate disposed inside the tubular portion of the clutch cover and a connection/disconnection switch which is configured to connect and disconnect torque transmission from an inside of the tubular portion to the clutch plate. a pair of rotary bodies (3, 4) which are provided in series with each other along a transmission path at a part between a damper for absorbing rotation fluctuation of an engine and a connection/disconnection portion of a clutch mechanism of a transmission in a transmission path of output torque of the engine from a crankshaft of the engine to a transmission mechanism of the transmission; a connection member which coaxially connects the pair of rotary bodies (3, 4) at rotation centers thereof so as to transmit torque; a first encoder which is fixed to one of the pair of rotary bodies and includes a detected portion which alternately changes characteristics in a circumferential direction; a second encoder which is fixed to the other of the pair of rotary bodies and includes a detected portion which alternately changes characteristics in a circumferential direction; a first sensor which is supported on a part which is non-rotatable during use while a detecting portion of the first sensor faces the detected portion of the first encoder, and is configured to change an output signal according to a characteristic change of the detected portion of the first encoder which faces the detecting portion of the first sensor; and a second sensor which is supported on a part which is non-rotatable during use while a detecting portion of the second sensor faces the detected portion of the second encoder, and is configured to change an output signal according to a characteristic change of the detected portion of the second encoder which faces the detecting portion of the second sensor, wherein the output torque of the engine is measured based on a phase difference between the output signals of the first sensor and the second sensor, characterized in that the other of the pair of rotary bodies is a bottom plate portion of a cylindrical clutch cover having a bottom in which a tubular portion is provided on an opposite surface of a surface facing the one of the pair of rotary bodies, and the connection/disconnection portion of the clutch mechanism is configured by a clutch plate disposed inside the tubular portion of the clutch cover and a connection/disconnection switch which is configured to connect and disconnect torque transmission from an inside of the tubular portion to the clutch plate.