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The problem of fault detection is considered for the Lipschitz nonlinear networked control systems with multi-packet transmission and time-varying sampling period and unknown interference inputs, with time-varying sampling period of switching method to nonlinear networked control systems with multiple packet transmission is modeled as a discrete switched systems, a robust fault detection filter is designed based on observer structure residual generation system, based on the Lyapunov stability theory and linear matrix inequality (LMI), the closed-loop system is asymptotically stable is given the sufficient conditions and the method of calculating the fault detection filter gain matrix. Simulation example is given to prove the fault detection filter is designed by the residual error of system for faults with sensitivity, and has robustness to external disturbance inputs.