An engine control device is provided with a main operation unit, an auxiliary operation unit, a changeover switch, and an engine control unit. The main operation unit is capable of performing an operation of changing a rotation speed of a propulsion engine mounted on a ship. The auxiliary operation unit is capable of performing an operation of changing the rotation speed of the engine instead of the main operation unit. The changeover switch is capable of performing an operation of switching between a main ship handling state in which the rotation speed of the engine can be changed by operating the main operation unit and an auxiliary ship handling state in which the rotation speed of the engine can be changed by operating the auxiliary operation unit. The engine control unit stops the engine when the changeover operation unit is operated to switch from the auxiliary ship handling state to the main ship handling state.