An electric power saw/cutter includes a rotatable saw structure, a rear handle with a switch/speed control, a front handle and a drive unit for rotating the saw structure. The drive unit itself including a saw structure drive arrangement to which the saw structure is attachable, a transmission for driving the saw drive arrangement, an electric motor for driving an input shaft of the transmission, and a support structure for holding/carrying the saw structure drive arrangement, the transmission and the electric motor. The front handle and the rear handle are directly connected to each other to form a handle unit, which unit is resiliently connected to the drive unit, so that vibrations from the saw blade and drive unit will be reduced in the handle unit.