In this paper, a typical equivalent fitting linear modeling method is studied by using BIM technology. This paper realizes the quality-efficiency control of construction projects based on BIM technology. The software can realize the cost data statistics and collection of each sample. The system takes the statistical sequence of each department’s project cost as the original data for dimensionality reduction processing. The variance contribution is used as the weight to calculate the weight of each main component. According to the finite element analysis of combined parameters, the project cost and construction benefit are the restrictive factors. A multi-factor comprehensive evaluation method establishes a rapid construction cost evaluation model. The experimental results show that this method agrees with the conventional calculation method and the measured data. The estimated cost of construction differs little from the measured value. The results show that the model constructed according to different stages of the construction projects has good prediction accuracy.