An engine control apparatus includes a hydraulic pump driven by an engine, a hydraulic actuator to which pressure oil discharged form the hydraulic pump is supplied, an operation lever configured to operate the hydraulic actuators, a detection means detecting operation amounts of operation lever means, an target flow rate calculation unit (50) calculating an target flow rate of the hydraulic pump based on the operation amount of the operation lever, a first target speed calculation unit (61) calculating a first target speed of the engine according to the target flow rate, a pump output limit value calculation unit (500) limiting the maximum target speed of the engine in an relief operation according to a load pressure of the hydraulic pump, a fourth engine target speed calculation unit (63).