Carrier-phase ambiguity resolution of Global Navigation Satellite System in applications that require both high accuracy and high integrity is challenging. This paper proposes an efficient partial ambiguity resolution method with integrity risk constrain for high-performance navigation. First, the Global Navigation Satellite System observation model and the integer ambiguity resolution procedure, especially the partial ambiguity resolution using least squares ambiguity decorrelation adjustment, are described. Then an integrity risk constraint method and an improved integrity risk constraint method for ambiguity resolution are presented. Based on these methods, a hybrid strategy is further derived. Last, the simulation and analysis for the integrity risk constraint method versus the hybrid method are performed. Simulation results show that the first method is conservative and thus unnecessarily limits the navigation availability, while the hybrid method presents a tight upper-bound, so that it increases the integrity and accuracy of high-performance navigation significantly.