In this paper, we propose a fuzzy adaptive identifier of SISO systems with nonlinearities in their input terms using new adaptation scheme. First, we mention briefly the fuzzy basis function expansion and the fuzzy approximator. Next, a fuzzy model of SISO plants with input nonlinearities is derived. Moreover, an adaptive identifier of the fuzzy model is proposed using the adaptation law which does not require the strictly positive realness. Finally, the performance of the proposed fuzzy identifier is investigated by the MATLAB simulation.