The reversible comparator circuit was further optimized in order to improve the universality of reversible comparator. The logical relationship of inputs and outputs in comparator were analyzed. A one-bit reversible comparator (OBC) and a one-bit reversible complete comparator (OBCC) were presented and designed. The two devices can be cascaded and rapidly generated into a reversible circuit of universal reversible comparator. Compared with the related literatures, the cascaded method efficiently decreases the quantity of constant inputs and garbage outputs, meanwhile it has the lower quantum cost, which is prone to the comparison with two multi-bit numerical values in reversible circuit.