Abstract <p>Curved pipeline bridge is common in water transfer engineering but with less consideration of external wind load in dynamic analysis. In this paper, the in-plane vortex-induced vibration (VIV) property of curved pipeline bridge with constant curvature radius is studied by virtue of wake oscillator model. The dynamic equations of curved pipeline are obtained based on the assumption of centreline extensible theory and the distributed van der Pol equation is applied to model the wake dynamics. The rationality of the dynamic model is verified by the comparison of natural frequency of semi-circular pipe conveying fluid with the existed results. The numerical analysis is conducted by center difference scheme. The dynamic responses are analyzed for an example with moderate aspect ratio. The effects of internal flow velocity, inner pressure, curvature radius and the shear parameter of external sheared flow on the dynamic responses of curved pipeline bridge are discussed in detailed. The results show that the velocity and pressure of internal flow, the curvature radius have significant influence on the response of curved pipeline bridge while the influence of shear parameter is comparatively small. The multi-mode response can happen even under external uniform flow and the lock-in response does not happen simultaneously at different locations. These characteristics are different from that of straight pipeline and make the study of curved pipeline meaningful and must be furthered.</p>