As the complexity of construction projects increases, traditional cost management methods are difficult to meet the demand for accurate control. The combination of multi-intelligence body optimization algorithm and BIM technology provides a new solution path for construction cost management. The study constructs a multi-intelligence body reinforcement learning model through Markov process and time series differential learning, develops a building cost framework deepening design plug-in to realize BIM automated modeling, and proposes annotation collision detection and intelligent annotation methods based on hybrid enclosing box. The results show that the application of BIM technology reduces the building cost consulting cost from 112,872,000 yuan to 60,630,000 yuan, saving 46.3%; the comprehensive benefit score of BIM technology application for the assembly building project of ZX Middle School reaches 83.0945 points, which is in the evaluation range of “comparatively good”, and the construction management benefit score is the highest, which reaches 96.0465 points. The study concludes that the combination of multi-intelligent body optimization algorithm and BIM technology can effectively improve the accuracy of construction cost control, reduce project cost and enhance the level of building design intelligence.