A hybrid-type construction machine comprises an engine 11; an electric power accumulator 19B; first and second pumps 28, 14; a motor generator 27 for driving the first pump 28; and plural actuators 1A, 1B, 7, 8 and 9 which are driven by the first and second pumps 28, 14, wherein the first and second pumps 28, 14 are arranged such that the first pump 28 controls at least one of the actuators 1A, 1B, 7, 8 and 9 independently from the second pump 14 and the second pump 14 controls at least another one of the actuators 1A, 1B, 7, 8 and 9 independently from the first pump 28, the first pump 28 is electrically driven by the motor generator 27 with electric power from the electric power accumulator 19B, and the second pump 14 is directly coupled to the engine 11.