In view of the voltage quality problems of the distribution network caused by the access of distributed generations(DG), a multi-objective optimization model for the output of multiple types of reactive power sources in the distribution system aiming at minimizing active power loss and node voltage offset is built.And this model is oriented to DG and shunt capacitors.The restricted range of photovoltaic inverters and doubly-fed wind power generation to the grid is given considering the reactive power characteristics of photovoltaic power generation systems and wind turbines.The constraint condition function of the output of DG and shunt capacitors or the absorption of reactive power is constructed considering the constraint region of variables not crossing the boundary, bilateral crossing the boundary, unilateral crossing the upper boundary, and unilateral crossing the lower boundary.Using the sensitivity coefficient based on the power flow, a linearized model of the sensitivity coefficient of the objective function is obtained.The two-stage simplex method is used to solve the optimization problem with good results.At last, taking a three-voltage 60-node power distribution system composed of F20 and F32 lines in a certain substation of a power grid as a calculation example, the feasibility and applicability of the model and algorithm in this paper are verified.