In this paper, recognition issue of range deception jamming is considered for bistatic MIMO radar systems. Generally, two factors of the error caused by Taylor expansion and unconstrained statistical hypothesis test in traditional methods will lead to unfavorable recognition probabilities of range deception jamming and target. To handle these two problems, first, the novel functions are constructed with the bistatic range history, the transmit cone angle and the receive cone angle by utilizing the characteristic of bistatic MIMO radar. Second, a nonlinear transformation is introduced to overcome the error caused by Taylor expansion. Third, target and range deception jamming are recognized under the constrained F hypothesis test instead of χ2 test. Compared with traditional methods, the proposed method exhibits superior recognition probability. At last, simulation results are given to illustrate the effectiveness of the proposed method.