An engine control apparatus includes an engine target speed set unit 51 setting a first target speed through a throttle dial, a relief engine maximum speed calculation unit 52 calculating a second target speed limiting a maximum target speed in a relief operation according to a load pressure of a hydraulic pump, a speed control means controlling an engine speed such that the engine speed is equal to lower one of the first target speed and the second target speed, a determination means determining whether an engine torque assist action of a generator motor is performed, based on a deviation between an target speed and a real speed of the engine. When the determination means determines that the engine torque assist action is performed, the speed control means controls the engine speed to be equal to the target speed through the engine torque assist action of the generator motor.