The synthesis of a dual-frequency band Inverted-S Antenna (ISA) using low profile PCB configuration is studied. To manipulate the multi-objectives and the huge amount of turning work involved in the synthesis of a dual-frequency band Inverted-S Antenna, special numerical techniques such as approaches to integrating different objectives, an improved vector genetic algorithm and a modified radial basis function based response surface model are proposed. Numerical results as reported serve to demonstrate the pros and cons of the proposed techniques.