Development schedule management is one of the important tasks of complex equipment projects, and reasonable schedule planning and control measures can ensure the success of project development and timely delivery. However, the development schedule is affected and constrained by many factors, such as schedule, cost, customer requirements, etc., and these factors show a certain degree of uncertainty. To describe and solve this kind of schedule control problem, taking into account the uncertainty of variables such as schedule and cost and the degree of satisfaction of customer"s quality requirements, a multivariate stochastic network-based schedule control method for complex equipment development is constructed by using theories and methods such as interval number, random network (GERT) and optimization model. Firstly, considering the uncertainty of the variables such as duration, cost and quality value, the interval number is introduced into the random network (GERT), and at the same time, considering the customer"s quality value demand, the multi variate random network based on the interval number is defined, and the relationship between the quality value of the complex equipment and the product quality level and the development cost is analyzed, and the quantitative formula of the quality value is proposed; secondly, taking into account the mutual influences and effects of the duration, cost and quality value, the duration-cost-quality value of the development of complex equipment is constructed. Secondly, considering the mutual influence and role of schedule, cost and quality value, a multi-objective optimization model is constructed, and a solution algorithm is designed by using a multi-objective genetic algorithm (NSGA-II); finally, the validity and reasonableness of the model are verified with a case study.