The electron transport in mesoscopic system provides a theoretical basis for the design of electronic devices with nanoscale nanostructures. Based on the transmission matrix method proposed in the previous research, the transmission coefficient of the cross-shaped four terminal quantum dot matrix system is calculated, and then the four terminal quantum dot array system model is transformed into a two terminal model to study the electronic transport of the asymmetric and symmetric cross quantum dot array system relative to the intermediate origin. The results show that the number of transmission peaks of the cross quantum dot array with space reversal symmetry is equal to the number of quantum dots onthe quantum dot array, and the transmission coefficient depends on the incident electron energy, the quantum dot width and the quantum number, but not on the transition integral.