A double-layer loop deployable antenna mechanism driven by elastic hinge was proposed to solve the design problem of over-large deployable antenna with high stiffness and light weight. The static analysis model of the antenna structure was established to get the interactional relationship between the bars and cables in this structure and the value range of the pre-tightening force in diagonal cables. The first six order vibration frequency and their relevant modal shapes of these two kinds of the antenna structures were assessed by dynamic analysis. In addition, it was found that the stiffness of the antenna structure with cables is 1.2 times of that of the cable-free structure. The effects of structural parameters on vibration frequency were pointed out, as well as the effective strategies to improve the vibration frequency of the antenna structure based on the sensitivity analysis of factors. It is found that the vibration frequency of the antenna structure can be improved by increasing the cross-sectional area of the transverse bar and the stay cable and reducing the cross-sectional area of the longitudinal bar.