In order to enable radar to deal with interference scenario and improve LPI performance of signal, a novel resource allocation scheme is proposed in this paper, and the specific jamming type studied is deceptive jamming. Firstly, the CRLB for deceptive distance in three dimensions is derived. Then, the resource allocation problem under anti-interference is established according to the CRLB. Specifically, the total power consumption is taken as the objective function, and the CRLB is taken as the performance constraint. The total power value is suppressed under the premise that the radar meets the predetermined performance constraint by allocating sensor, power and bandwidth resources. In order to solve the proposed optimization problem, this paper firstly solves the sensor resource allocation problem belonging to integer programming, and then adopts the SQP algorithm in cyclic form to solve the joint power and bandwidth allocation problem. The final simulation results show that the power consumption of the new scheme is less than 50.0% compared with the optimal power allocation scheme, which verifies the feasibility of the new scheme in reducing the total power. In addition, the advantages and disadvantages of the proposed algorithm are explained by comparing with the nonlinear programming genetic algorithm in the simulation experiment. Finally, the power comparison results and analysis at the interception receiver are given, which show that the maximum power component effectively decreases, so as to improve the LPI performance of the signal.