Microstrip radiators are expanded because of its utilization in high operating frequency and fast information correspondence applications. A microstrip radiator for X-band satellite application is proposed in this paper. The design of antennas for satellite applications differs in several respects from other applications. The major function of a satellite antenna is communication. Accurate predictions are required to design an efficient antenna system. The design required to consider the important antenna parameters like radiation, gain, front to back ratio and impedance. The planar patch antenna provides better gain, VSWR, return loss and radiation efficiency parameters. The total dimensions of the proposed Leaf shape antenna as 15 x 12.3 x 0.787 mm ^{and Roger RT Duroid 5880 is used as a dielectric substrate of the proposed antenna. Analytical and design results are obtained using 3D electromagnetic simulator termed as CST Microwave Studio Suite 2017, based on Finite Integration Technique (FIT). The FIT is probably the numerical method for electromagnetic field simulation with the most dynamic development. The FIT is a spatial discretization scheme to numerically solve electromagnetic field problems in time and frequency domain. The resulting matrix equations of the discretized fields can be used for efficient numerical simulations.}