An electric power steering apparatus arranged in the vicinity of a heat source mounted on a vehicle includes: a rack shaft that turns a road wheel; an output shaft provided with a pinion gear engaged with a rack gear of the rack shaft; a worm wheel provided on the output shaft; a worm shaft engaged with the worm wheel; an electric motor that drives the worm shaft; and a controller that controls driving of the electric motor, and wherein at least a part of the controller is arranged on the opposite side of the heat source such that a rack housing is sandwiched between at least a part of the controller and the heat source, the rack housing accommodating the rack shaft.