To investigate the shear behavior of a new curved girder with a rectangular grouted tubular flange and corrugated web (CG-RGTF-CW), four reduced-scale specimens, including one straight girder and three curved girders, were designed and fabricated for shear bearing capacity tests. Through these tests, data on buckling modes, ultimate loads, load-strain curves and load-displacement curves of all specimens were obtained. The test results show that the corrugated webs of both the curved girder with small curvature and the straight girder exhibited similar failure modes. Interestingly, the density of the corrugated web influenced the buckling mode of the curved girder. To further investigate the shear behavior of these new girders, a finite element (FE) model was constructed. The reliability of the FE model was verified using experimental results. Using the presented FE model, the effects of several parameters on shear behavior were examined. These parameters included corrugated web thickness, girder curvature, folded sub-plate width, corrugation angle, depth of inclined fold and web constraints. The results show that girder curvature has minimal effect on the shear buckling performance of the corrugated web, while the web height-to-thickness ratio has remarkable influence on the buckling modes of the corrugated web and the shear bearing capacity of the new girder. Additionally, the rectangular grouted tubular flange exhibited robust web restraint capabilities, contributing to shared shear force absorption with the web.