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To improve the algorithm of two key technologies in the Galileo signal-in-space integrity monitoring system, an improved critical circle method and a censored probability envelope model were proposed for the determination of the worst user location and enveloping the Signal-in-Space Error respectively. The improved critical circle method could obtain accuracy WUL directly by coordinate conversion to simplify purely geometric derivation. The censored probability envelope model solved the over-bound problem by using a new envelop concept for the SISE distribution with non-zero mean. Finally, simulations were conducted to compare the integrity performance of the improved algorithm with the original one in fault-free, step failure and slope failure modes. The results show that the integrity threshold envelope tightness improves from 3.89 meters to 2.62 meters and system alarm more timely than the original algorithm in the slope failure mode.