Abstract: The networked control problem for a class of singular systems with time-varying transmission period was addressed. Firstly, the singular networked control system was transformed as an asynchronous dynamical system in the case of no networked-induced delay and no data packet dropout. Meanwhile, the time-varying transmission period was regarded as a time-varying uncertain parameter. Further, the feedback stabilization of the asynchronous dynamical system was studied by Lyapunov stability theory and linear matrix inequality techniques. A sufficient condition was presented such that the system was asymptotically stable. Finally, a numerical example was presented to illustrate the effectiveness of the proposed method.