Towards the safety reliability problems of the quayside container crane under earthquake excitations, the anti-seismic reliability analysis has been carried out. Because of hugeness and complexity of the structure, it is absolutely impossible to carry on seismic testing with prototype. Thus, a FEM mechanical model of quayside container crane is presented by using the ANSYS codes. Based on the modal response spectrum method and the time-history analysis theory, the load-carrying performance is investigated under earthquake excitations. The results show that neither the displacement response nor the stress response is large under the earthquake excitation in every direction, which could satisfy seismic design requirements.