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High precision positioning using carrier phase observations is the main method and approach of Beidou navigation satellite system(BDS)positioning.Especially,the ambiguity fixing has always been the focus,and it is always the key problem of the related research.In the medium/long baseline,the ionospheric delay error will affect the efficiency of ambiguity resolution seriously,and then affect the precision and efficiency of precise positioning.To solve this problem,this paper put forward a method of medium/long baseline ambiguity resolution based on the classical three-carrier ambiguity resolution(TCAR)model.To improve the reliability of wide-lane(WL)ambiguity fixing,a factor is introduced into the optimal linear combination for reducing noise,improve the reliability of wide-lane(WL)ambiguity fixing,and the ionospheric priori standard deviation is used to minimize the effect of the length of the baseline.In order to verify the feasibility and effectiveness of the algorithm,the proposed algorithm is compared with the classical TCAR algorithm in several aspects such as the ambiguity fixed success rate.The results show that the proposed algorithm has the highest success rate in the case of medium/long baseline,and can fix the ambiguity instantly.