A fast fitting method for quantifying multiple MR parameters using local optimization method with predetermined initial values is proposed. In the proposed method, an optimal neighborhood solution is extracted as predetermined initial values. A difference in MR parameters between the proposed method and the conventional method was less than 5 %. On the other hand, a computing time of the proposed method was approximately 15 times faster compared with the conventional method. We concluded that the proposed method can provide fast fitting process while maintaining calculation accuracy.