A steering angle detecting apparatus for vehicles includes a vernier calculating section that performs vernier calculation based on a steering shaft angle and a motor angle, a neutral period specifying section that specifies a neutral period including a neutral point based on a reference angle calculated by the vernier calculation in the vernier calculating section, and a neutral point specifying section that specifies the neutral point from the neutral period and a stored neutral point value, and outputs a steering angle the neutral point of which is specified.