The shock isolation performance of the integrated quasi-zero stiffness isolator (as also be called “integrated isolator”) was studied. The attenuation period, oscillation frequency, maximum acceleration ratio and maximum displacement of shock response were selected as evaluation indexes, respectively. The influences of linear stiffness ratio and geometric design parameters on the shock isolation of the integrated isolator under half-sine pulse acceleration excitation were emphatically studied by using the fourth-order Runge-Kutta method. Calculation results show that the integrated isolator has better acceleration attenuation performance than the linear isolator after the shock with a long duration. The smaller outer wall height and the larger wall thickness are beneficial to improve the shock isolation performance. The relevant research can provide guidance for the engineering application of the integrated quasi-zero stiffness isolator.