An engine control fuel pump apparatus is provided with a low load fuel pump control section, a high load fuel pump control section and a subordinate pump drive section. The low load fuel pump control section controls a main fuel pump for supplying fuel to an engine when an engine operating condition indicates that the engine is operating with a low load. The high load fuel pump control section controls the main fuel pump and a subordinate fuel pump for supplying fuel to the engine when an engine operating condition indicates that the engine is operating with a high load. The subordinate pump drive section drives the subordinate fuel pump for a prescribed period of time when a rotational speed of the engine is equal to or higher than a prescribed rotational speed while the engine is operating in an low load operating region in which the low load fuel pump control section controls the main fuel pump for supplying fuel to the engine.