The parametric vibration of cables in the pretensioned folded line type 3D-trussed arch was studied and the finite element model of pretensioned arch structure was established to investigate the possibility of parametric vibration of cable by utilizing ANSYS. The nonlinear time-history analysis method was adopted to study the dynamic response of the structures under different frequency harmonic load and seismic waves and to investigate the mechanism of parametric vibration of cable arch structure. The influence of parameters, such as the prestress and excitation amplitude, were investigated. The results indicated that the cable parametric vibration appeared when the ratio of the excitation frequency to the natural frequency of cable was 2.05 ∶ 1，the amplitude of cable increased by about 63 times and the response of some key nodes and members in the structure increased; the cable had a relatively large response when the frequency of the seismic wave concentrated on the frequency range in which the cable had a parametric vibration. The effect of cable parametric vibration on the structure response was necessary to be considered for ensuring the safety of the structure under earthquakes.