An analysis of the received signal of SIMO CDMA system shows that the received signal has trilinear model characteristics, and hence PARAFAC (parallel factor) multiuser detection algorithm for SIMO CDMA system is proposed in this paper. The proposed PARAFAC multiuser detection algorithm capitalizes on antenna, temporal and spread diversity-combining. The simulation results reveal that the performance of PARAFAC multiuser detection algorithm for SIMO CDMA system is closer to the non-blind receiver with SNR increasing. The proposed PARAFAC multiuser detection can achieve performance that is same with non-blind receiver in the lower SNR condition. The PARAFAC multiuser detection algorithm does not require channel parameter and spread codes, so it is blind method