The engine starting device includes a starter motor, a pinion portion, a pushing mechanism for pushing a pinion gear of the pinion portion to a position at which the pinion gear comes into meshing engagement with a ring gear, and an integrated switch for operating a motor-energization switch to pull a plunger after the pinion gear is pushed, by configuring a switch for actuating the pushing mechanism and turning ON/OFF an energization current to the starter motor by a single plunger coil. When a restart request is issued after an engine stop is requested and therefore the integrated switch is placed in an ON state, operation timing of the pushing mechanism and coil-operation timing of the plunger coil are set so that the starter motor avoids operating until the pinion gear comes into contact or meshing engagement with the ring gear.