The stability and reliability of a vibration test bed are significantly influenced by the mechanical property of its structure. In order to reveal the mechanical property of the structure and its effect on the strength and stiffness, a finite element model of the damper vibration test bed frame has been created, the loads and constraints have been imposed, and the static solution has been carried out, from which the stress states and the maximum deformation of the test bed frame have been obtained. Moreover, according to the determined stress distribution, the strength and stiffness of the test bed frame have been extracted. The simulation results show that the maximum deformation, which is 0.0717 mm, is within the safety range and meets the stiffness safety condition. The maximum stress is 59.6 MPa and meets also the strength security condition. Finally, the minimum section stress has been compared to the theoretical prediction, and the results agree very well.