The work aims to study the influence of spring stiffness, damping ratio, eccentric distance of vibration and other different vibration characteristic parameters on vibration response amplitude of single degree of freedom linear system. Firstly, the influence of spring stiffness, damping ratio and eccentric distance of vibration on the vibration response amplitude of single degree of freedom linear system was studied by single factor test. On this basis, the response surface methodology test (three factors and three levels test) of Design Expert 11.0 software was used to investigate the influence of interaction of different vibration characteristic parameters on vibration response amplitude, establish the quadratic polynomial regression mathematical model of vibration response amplitude and optimize the vibration reduction amplitude. From the test analysis, the order of the influence of each factor on the vibration response amplitude was as follows: damping ratio > spring stiffness >eccentric distance of vibration and the response equation of the detection point was established. The determination coefficient of the regression equation of the detection point was 0.9810, and the multi-objective parameter optimization results were: spring stiffness of 2.00954 N/mm, damping ratio of 0.1 and eccentric distance of vibration of 12.3797 mm. Therefore, it is concluded that the experimental results are close to the predicted values, which shows that the mathematical regression model obtained by the response surface methodology test has certain reliability. This study can provide a reference for the design of cushioning packaging parameters.