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Due to their higher heat output, chips, which have high power densities, require more heat removing systems in order for the chips to work safely. Micro heat exchangers are used for this purpose. Earlier studies show that air cooling systems can only operate on low power chips (<100 W/cm2), therefore, liquids are being used to provide sufficient and better cooling for high power chips. In this study, the effects of fin height and the base area of the fins on a micro heat exchanger with staggered type fin formation were examined numerically. The two geometrical parameters were optimized using artificial neural network and genetic algorithm. Simulations were carried out using commercial CFD codes. Results were given in temperature differences and amount of heat removed for the defined design parameters.