This paper puts forward a cooperative node selection and transmit resource allocation (CNS-TRA) strategy for multi-target tracking (MTT) in multiple radars architecture (MRA), whose objective is to improve the low probability of intercept (LPI) performance by jointly coordinating the radar node scheduling, dwell time, transmit power and effective bandwidth of MRA subject to predefined target tracking accuracy requirement and several resource budgets. By incorporating the above controllable parameters, the Bayesian Cramér-Rao lower bound (BCRLB) is calculated and used as the accuracy metric for target tracking. Subsequently, this paper develops a fast and effective two-stage-based solution methodology to solve the resulting non-convex and non-linear optimization problem. Simulation results demonstrate that the CNS-TRA strategy has superiority over other existing algorithms and can achieve better LPI performance for MRA.