Microstrip antennas are attractive due to their light weight, conformability and low cost. These antennas can be integrated with printed strip-line feed networks and active devices. This is a relatively new area of antenna engineering. In this research paper first a Microstrip line fed antenna have been modeled, designed and simulated. The analysis of dual band Microstrip patch antenna is done using transmission line model for 1.66 GHz and 2.77 GHz frequency and the designing has been done in IE3D software which is an EM solver and works on the principle of Method of Moments.