A plumbing snake assembly includes a drill has a handle, a motor housing, a chuck is positioned on the motor housing and a drive unit is positioned within the motor housing. The motor housing has a cable aperture extending therethrough. A plurality of flexible shafts is provided and the flexible shafts can be coupled together to form a plumbing snake for pushing through a drain pipe. Each of the flexible shafts is insertable through the cable aperture in the drill such that the drive unit engages and subsequently rotates the flexible shafts when the drive unit is turned on. A cleaning head is removably attachable to a respective one of the flexible shafts thereby facilitating the cleaning head to be positioned on a leading end of the plumbing snake defined by the flexible shafts. In this way the cleaning head engages and removes a blockage in the drain pipe.