Switched capacitor converters (SCCs) are used for low-power applications because they are designed without magnetic components. Among various types of SCCs, the Fibonacci SCC (FSCC) features a small size and high voltage gain. However, the FSCC performance can be more improved, which leads to suggest a cross-connected FSCC (CCFSCC). However, in the considered four-terminal equivalent circuit model for analyzing the CCFSCC, some circuit parameters, such as the operation frequency and capacitor capacitance of the SCC are neglected. In this paper, we propose an analytical approach to optimize the CCFSCC circuit parameters by deriving its voltage gain function. The validity of the addressed methodology is confirmed by comparing the outcomes with the results of simulations and experiments. It is shown that the average errors between the calculated and experimental voltage gains are 9%, and the average absolute errors between the calculated and simulated ones are under 0.1.