An electric actuator for imparting steering movement to a propulsion unit of a marine vessel includes a housing and an output shaft reciprocatingly received by the housing. There is a motor disposed within the housing. The motor has a rotor assembly and a stator. Rotation of the rotor assembly causes the output shaft to translate axially relative to the rotor assembly and causes the output shaft to reciprocate relative to the housing. There is a coupling assembly mounted to the housing. The coupling assembly coupling the electric actuator to the propulsion unit of the marine vessel. There is a steering control unit mounted to the housing. The steering control unit drives the motor to cause the rotor assembly to rotate and the output shaft to reciprocate relative to the housing.