The received signal of the polarization sensitive array is proved to have trilinear model characteristics. The blind parallel factor(PARAFAC) signal detection algorithm for the polarization sensitive array is proposed. The trilinear alternating least square (TALS) algorithm is used to abtain the source matrix, and then the matrix is judged. Simulation results show that the bit error rate (BER) of the detection algorithm is close to that of the non-blind decorrelating method and the algorithm works well under the array error condition. BER difference between the non-blind method and this algorithm is less than 2 dB under a high SNR. The algorithm is blind and robust. The channel fading, the direction of arrive(DOA) imformation and the polarization information are needless in the algorithm.