This paper proposes a dual-arched nonlinear anti-vibration structure (D-ANAVS) and systematically investigates its nonlinear characteristics to assess its vibration suppression performance. The D-ANAVS consists of a dual arrangement of arch-shaped arcs, which demonstrates a distinctive characteristic characterized by the combination of linear and geometric nonlinear stiffness during the compression. This distinctive attribute distinguishes the D-ANAVS from other structures, endowing it with an extended quasi-zero stiffness range in displacement and greatly enhancing its performance in effectively suppressing vibrations. A lumped parameter model of the D-ANAVS is introduced to comprehensively analyze its static and dynamic behaviors. The investigation specifically focuses on examining the influence of various structural parameters on the observed nonlinearities. A prototype is meticulously designed and fabricated using thermoplastic polyurethane (TPU) material. Experimental tests are conducted to assess its efficacy in suppressing vibrations. The obtained results unequivocally demonstrate the remarkable capability of the D-ANAVS to significantly attenuate vibrations within the low-frequency range. The results obtained from this study offer compelling empirical evidence that substantiates the effectiveness of the D-ANAVS as a robust vibration suppression solution applicable to a wide range of engineering applications.