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A dual band L-strip proximity fed slot loaded rectangular microstrip patch antenna is proposed and investigated theoretically as well as simulated by IE3D. Numerical results for the input impedance, VSWR and return loss are presented and compared with simulated results. The effect on varying height h2, slot width and width of the strip are analyzed to obtained the optimum values for dual band operation. The resonance frequency of proposed antenna is found to be 3.26GHz and 6.20 GHz for lower and upper resonance frequency. The frequency ratio is found to be 1.95. The bandwidth of the proposed antenna is found to be 1.63% and 1.18 % (simulated) and 3.35 % and 2.5 % (theoretical) for lower and upper resonance frequency respectively.