The spatial attitude control of the arch ribs of the complex shaped arch bridge is one of the key issues to ensure the quality of the project. The verification of the design drawing parameters and the coordinates of each point in the actual construction is the prerequisite to ensure the construction quality. Aiming at the above problems, this paper introduces BIM technology and mathematical modeling and proposes a method for checking the arch ribs of a complex space special-shaped steel arch bridge. The paper firstly completes the mathematical modeling and verification of the arch axis node coordinates of the steel arch rib design drawings and uses Tekla modeling to assist in the verification of the arch size. Then the coordinates of the monitoring points of the arch section during the construction were checked by mathematical modeling, and finally simulates the construction in Tekla, establishes the actual engineering model, and analyzes the overall error by fitting the actual arch axis. At the same time, this method was applied to a bridge in Wuhan, which proves the practical feasibility of the verification method.