A resin gear for an electric power steering apparatus is provided which offers excellent mechanical strength and durability, and in which damage of teeth, does not occur even when the gear is employed in an electric power steering apparatus equipped with a high-power electric actuator. The resin gear for an electric power steering apparatus includes a worm wheel, and a gear portion thereof is formed of a resin molding material containing a thermosetting resin and polyparaphenylene-benzobisoxazole fibers (PBO fibers) as essential constituents.