A transmission device for a photosensitive drum includes a sleeve having at least one guiding groove, a transmission unit having a shaft disposed in the sleeve and capable of moving and rotating at the same time, an elastic member, and a gear member receiving the sleeve and the elastic member so that the elastic member exerts elastic force on the shaft of the transmission unit. The transmission unit has two engagement blocks and a receiving space between them. Each engagement block has an inclined outer surface, an inner surface, an inclined top surface and an engagement concave connecting the inner and outer surfaces. The engagement concaves are opened toward opposite directions for engagement with two pillars of a drive member of an electronic image forming apparatus respectively. As a result, the transmission device can be connected with and separated from the drive member smoothly.