A positioning apparatus comprises an acquiring section which acquires an azimuth angle and an angular velocity of a moving object from values measured by sensors of the moving object moving in a positioning area; a storage section which stores a coefficient of a relational expression established between a moving speed and a standard deviation of the angular velocity of the moving object in association with each of a plurality of division areas for dividing the positioning area; and a positioning section which specifies a division area where the moving object is positioned per unit time to acquire the stored coefficient in association with the division area, and calculates the moving speed in the division area from the coefficient and the standard deviation of the acquired angular velocity to measure a position of the moving object in the positioning area from the moving speed and the acquired azimuth angle.