With the growing number of secondary voltage control goals， the conventional weighted multi-objective optimization method is facing increasing difficulties in dealing with different dimensions and deterministic weight coefficients. The linear goal programming method is introduced into secondary voltage control domain， which is widely used in multi-objective programming methods and has no limitation of goal dimension and quantity. A new secondary voltage multi-objective control method based on linear goal programming is proposed. At first， the secondary voltage multi-objective control problem is represented as linear goal programming through sensitivity analysis， then the priority of each objective is ranked by rules and operating conditions， at last the optimal solution is used for secondary voltage multi-objective control. The simulation results show that each goal optimization is achieved according to the priority order， and the multi-objective control effect is satisfied. To meet the requirement of practical engineering applications further， an improved linear goal programming model of secondary voltage multi-objective control is discussed.