Design of a new gear pump requires many considerations to get good pump efficiency. In order to achieve optimal results, all parameters must be optimized from the design stage. In this study, ANSYS CFX was used to make parametric analysis in order to optimize a new design of gear pump. Two parameters which are inlet diameter and rotation speed are considered. The response surface method gives an optimum design point for inlet diameter of 15mm and rotation speed of 3500 rev/min. Twin vortices are created in the inlet and the outlet of pump, which strangle the flow. In order to reduce their negative effects on the flow, fillets are created at the inlet and the outlet of the pump.