Blind multiuser detector can efficiently suppress multiple access interference (MAI) in code-division multiple access (CDMA) system, with prior knowledge of only the signature sequence and timing of the desired user. For the Tikhonov blind multiuser detector, theoretical performance analysis has not been given, which is more convincing. We gave analytical performance in this paper, with the output signal-to-interference-plus-noise ratio (SINR) as the performance measure. At last, we gave some examples to show the effect of some parameters on the SINR performance.