Based on the principle of power synthesis of coherent signals in the intersection area of the distributed array, a mathematical model of coherent signal synthesis in the distributed array is established.On the basis of this model, power resource optimization problem of the bi-linear vertical crossing array is modeled.Based on this optimization model, computer simulations are carried out according to whether there are phase errors in the signals arriving at the intersection area.The SQP algorithm and the genetic algorithm are used to find the optimal solution of power allocation, and the optimal power allocation scheme is obtained.The optimization can not only improve the effect of signal synthesis, but also provide a solution and theoretical basis for the optimization of power resources in coherent signal synthesis of the distributed array.