[Problem] An object of the present invention is to provide an electric power steering apparatus that enables more precise estimation of a coil temperature for a poly-phase motor by considering a heat transfer phenomenon between a control substrate and a coil in addition to a heat transfer phenomenon between the coils.[Means for solving the problem] An electric power steering apparatus that comprises a control substrate that controls a poly-phase motor having two-system motor windings, comprises a temperature sensor that detects a substrate temperature of the control substrate, and a coil temperature estimating section that estimates all coil temperatures by all motor currents of the poly-phase motor and the substrate temperature based on a heat transfer phenomenon between all coils that is caused by a difference in temperature between the all coils and a heat transfer phenomenon between the coil and the control substrate.