In this paper, using the general purpose software ABAQUS, a three dimensional (3-D) finite element model was built to simulate semi-rigid composite connection with precast hollowcore slabs. 3D continuum elements are used for all parts of the composite connections and the contact conditions between all the components are explicitly modelled. The model also incorporates nonlinear material characteristics and non-linear geometric behaviour. A simplified method to simulate the bolted end plate connection is introduced and validated. The proposed Simulation method of the longitudinal shear transmission can accurately Simulate the plastic state of the longitudinal rebars after cracking. Different materials are chosen by the authors to Simulate the concrete slab, and the elastic-plastic material property is adopted which can accurately simulate the moment-rotation response of the connections. Numerical results are presented and compared with the experimental data and good agreement is obtained. (c) 2008 Elsevier Ltd. All rights reserved.