In recent years, the distributed power supply capacity accessing to power distribution is bigger and bigger, but the unreasonable location plan for distributed power supply location with constant capacity is not conducive to the optimization and operation of the distributed power network, as a result, according to power constant volume location problem, this paper analyzes the influence of distributed power supply on the line loss, node voltage and fast voltage stability index (FVSI) of power distribution network, sets up the relevant objective function, meanwhile, introduces the link of crossover and mutation of the genetic algorithm into lion swarm algorithm in order to strengthen the ability of lion swarm algorithm to jump out of local optimal solution, and finally, based on standard IEEE 33 node power distribution network, verifies the proposed method. The results show that the proposed scheme can effectively reduce the line loss of the network, improve the node voltage and enhance the stable operation of the power distribution network, and that the genetic lion swarm algorithm has a stronger ability to jump out of local optimal solution and has a faster convergence rate than the original algorithm.