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In this paper, the performance of the space-time coding ultra wideband impulse radio system in a typical IEEE 802.15 multipath channel is studied. In the proposed scheme, only two transmit antennas and one receiver antenna are employed and no channel information feedback is needed. We investigate how the temporal and spatial diversity influence the multiple access performance and how the space-time coding technique is used to mitigate the multiple access interference (MAI) and the inter-symbol interference (ISI) thereby improves the bit error rate performance of the ultra wideband impulse radio system. Numerical results show that the space-time coding technique is an efficient means to improve the performance of ultra wideband impulse radio system under IEEE 802.15 multipath environment in both one single user and multi users environment.