A theoretical study on the propagation of single direction light in optical ring is presented. When the angular velocity changes, the frequency of single direction light propagating in optical ring will shift. The analytical expressions are obtained for the resonance conditions when the light propagates in optical ring resonator. A kind of integrated optical waveguide gyroscope structure based on ring resonator and Mach Zehnder interference is designed, which provides a convenient way to sense both the angular velocity and rotational direction. And the precision of such gyroscope is independent of the finesse of optical waveguide ring resonator. Comparing with the optical waveguide ring resonator based on Sagnac effect, this kind of structure has potential to get better performance.