According to the conversion relationship between fractional-order memory elements, a general equivalent circuit of fractional-order memory elements was designed. Without changing the topological structure of circuit, the equivalent circuit could convert any grounding fractional-order memory element into any floating fractional-order memory element by selecting the types of five impedance elements. In the simulation experiment, three kinds of fractional-order memory elements were realized respectively according to the proposed general equivalent circuit, and the characteristics of three kinds of fractional-order memory element were analyzed. The correctness of the equivalent circuit was verified.