Abstract: In this paper, we got the optimal linear combinations which can effectively detect and repair all types of cycle slips considering the characteristics of BeiDou Navigation Satellite System(BDS). In the detection process, five geometry-free linear combinations were applied based on a three-step cycle slip detection process. For different sorts of cycle slips, specific frequency carrier phase linear combinations are used for repairs. Finally, based on Beidou triple-frequency data with different levels of ionospheric delay variation under different sampling intervals of 1 s, 15 s, 30 s respectively, the ability of cycle slip detection and repairs were verified. The results were optimum.