The analysis of array of rectangular superconducting microstrips implemented in multilayered substrates is presented in this research. The spectral domain and the stationary phase formulations of single rectangular superconducting microstrip antenna are given, in order to calculate its resonant frequencies and its radiation patterns. Additionally, the swarm particle optimization (PSO) is employed for the synthesis of linear array geometry. The main objective of this optimization is to achieve minimum side lobe levels, and maximum directivity. Then, we calculate and plot the total radiated field which is the multiplication of a single element radiation pattern by the array factor, when superconducting rectangular microstrip antennas are made in a linear arrangement. Comparing to the exiting array antenna design, the numerical results, obtained from the implementation of our calculations, have shown that the optimum parameters of amplitudes of excitation and positions obtained by our formulation using PSO increases the gain, and improve the directivity.