Aiming at the complex structure, poor reliability and high cost of the large special carrier position and attitude measurement system, a new method for precise measurement of carrier navigation information is proposed by using the two-level integrated navigation of satellite navigation and celestial navigation based on the fiber optic gyroscope (FOG) strap-down inertial navigation system (SINS). The filtering structure, error equation and mathematical model of the integrated navigation system are presented. The results of data analysis and accuracy assessment show that the integrated navigation method, based on FOG SINS with small size, high reliability and low cost, can achieve the precise measurement of carrier velocity, position and attitude. The precise measurement method of carrier position and attitude based on FOG SINS is an effective way to realize low cost and high performance of navigation.