To enhance the static voltage stability of power systems and minimize the workload of the operators, an optimal generator re-dispatch model is proposed that takes into account economy and static voltage stability of power systems. The model aims to minimize the number of generators to be adjusted and the generation cost, and the constraints include the demand improvement load margin and a secure operating requirement for power systems. By nature, the problem is a multi-objective nonlinear mixed integer programming problem. To solve the problem, first, the generators to be adjusted are quickly estimated by a linear sensitivity method to solve the integer programming problem with the minimum number of controls. Then, the adjusted output value of each generator is determined by an available linear programming method with the objective of minimizing the generation cost. Finally, simulation analysis is carried out on the IEEE 39-bus and IEEE 118-bus power system. The results show that the proposed model and method can solve the enhancement control problem of static voltage stability. This work is supported by the National Natural Science Foundation of China (No. 51707109).