It is difficult to describe, the actual system model by the determined parameters, and the circuit with grey parameters is universal. Therefore, based on the grey number, grey control and circuit analysis, the grey circuit system is analyzed, which has a certain theoretical and practical significance. By taking a grey RLC circuit model as the example, the controllability, observability, stability and circuit simulation are studied. The research of the grey circuit is beneficial to the simulation verification and hardware implementation in the grey system control, which will also promote the fields of grey circuit and grey control, and can be applied to the problems of uncertain circuit analysis, systems modeling and control.