• Shallow-buried explosion tests were carried out on reinforced concrete arch and corrugated steel-plain concrete arch. • Corrugated steel-plain concrete composite structures exhibited more significant explosion resistance than ordinary reinforced concrete structure. • The anti-explosion mechanism of corrugated steel-plain concrete composite structure was expounded through the interface effect of stress wave. • The bearing capacity of corrugated steel-plain concrete composite structures with different waveforms was analyzed by the stiffness equivalent method. To study the dynamic response characteristics and anti-explosion mechanism of a corrugated steel-plain concrete (CSPC) composite structures under explosion loads, a series of explosion experiments were conducted on shallow-buried arch structure models, including one reinforced concrete (RC) structure and three CSPC composite structures with different corrugated characteristics. The dynamic responses of the structures under explosion were monitored, and the deformation and failure characteristics were investigated and compared. Combined with theoretical analysis, the anti-spallation mechanism of the CSPC composite structure was revealed, and the factors influencing the blast resistance of the CSPC composite structure were clarified. The results indicate that a CSPC composite structure exhibits large deformation and high ductility under nearby explosive loading. Compared with RC structures, CSPC structures exhibit the characteristics of overall deformation and failure, which dissipates a large amount of blasting wave energy. In addition, the presence of a corrugated steel plate weakens the spallation effect and local collapse of the concrete and ensures the safety of the internal space of the structure. The test results of different corrugated steel models show that the anti-blast ability of the CSPC composite structure is directly related to the waveform size parameters of the corrugated steel plate lining thereon. Based on the test results, the stiffness equivalent method was used to estimate the bearing capacity of three CSPC composite structures with different corrugation characteristics. The main factors affecting the explosion resistance of the CSPC composite structure are the moment of inertia of the corrugated steel plate and the interface connection strength between the corrugated steel plate and the concrete.