This paper designs the cloud service model, the physical framework of cloud service, and the technical framework based on the intelligent terminal and builds a cloud service construction management system for the intelligent terminal using B/S technology by combining some demand analysis in the construction management system. In order to solve some practical problems in the construction management system, the traditional schedule-cost construction optimization system introduces two major objectives, safety level, and environmental impact, and constructs a construction schedule-cost-safety-environment multi-objective optimization model, and adopts the knee point driven evolution (KnEA) algorithm for multi-objective optimization. After several tests on engineering examples, the average values of the optimal solution are 96.8 for the duration, 11,200 for cost, and 0.92557 for quality reliability, and all aspects of system performance are within the acceptable range, and the data can be provided to the intelligent terminal in time.