An optimization-based methodology for designing robust high frequency Gm-C filters is presented. In the first step of the design, the topology for high-frequency Gm-C filter is obtained directly from an active RC prototype, using the a transformation method proposed in [1]. where a transformation method for designing Gm-C filters from known RC filters while grounding floating capacitors is proposed. In the above mentioned paper the filter elements values are obtained by a user-defined methodology which can produce high sensitivity to component variations. In the work developed, the analytical characterization of a 2nd order Gm-C Sallen-Key LP filter is considered as well as the corresponding symbolic expressions for their sensitivity to component value variations. By using the minimization of the sensitivity as a goal function in the optimization process, parasitic capacitances are canceled and robust designs are obtained. Optimization and simulations results that validate the theoretical results are presented.