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Absrtact: In order to improve the observity of velocity and attitude and the eveluate effects of gyro draft and accelerometer error in self calibration of airbone strapdown inertial navigation system, attitude from star sensor and velocity from GPS were introduced to calibrate the strapdown inertial navigation system. Meanwhile the measurment noise of attitude and velocity was affected by pulse noise, becoming non-Gaussian distribution, which conducted performance degeneration of Kalman fiter. In order to utilize high-order moment information of measurement signals, minimum mean square error criterion was replaced by maximum correntropy criterion in Kalman filter, which was used to calibrate the airbone strapdown inertial navigation system aided by star sensor and GPS. The simulation results show that the caliburation accuracy is improved by maximum correntropy Kalman filter. And both of speed and accuracy in calibration were improved by the aide of star sensor.