In order to implement the parametric optimization design of centrifugal pump blade, the partial differential equation was used to design the impeller meridian plane and the 3-D blade surface. Firstly, quartic Bezier curve was employed to design the meridian plane, and then the partial differential equation was introduced to produce the original streamline and meridian quasi-orthogonal lines. Secondly, the partial differential equation was used to generate the centrifugal pump blade surface. According to the blade streamline equation, the angular coordinates of dispersed points on pump blade boundary was calculated from the distributions of blade angle on boundary. Consequently the boundary-value of the partial differential equation was determined. The blades geometries was controlled by adjust the distribution of the blade angle along hub and shroud. The relation between the 3-D model of pump blade and the pump design parameters was built, to achieve the parametric design of pump blade. The gradient optimizing method was introduced to realize the optimization of pump blade. The calculation result of the flow field was used to renew the shape of pump blade. The calculation case shows that the presented inverse method of centrifugal pump blade is rational.