A “ hockey stick” phenomenon is one of anisotropic effects that should be eliminated in marineseismic data. It can increase residual moveout at the far offsets and impact to the distortion of reflection eventamplitude, eventually, reduce the seismic imaging quality. Conventional hyperbolic moveout approximation, analgorithm isotropic model commonly used for seismic processing, has a drawback in supressing such phenomenon.It is also not reliable for medium anisotropy model and long offset data. Many researchers formulated non-hyperbolic moveout approimations but it has limitation analysis for inteval offset-depth ratio (ODR) more thanfour. We present three-ray generalized moveout approximation (three-ray GMA) for transversely isotropicmedium with vertical axis of symmetry (VTI), which is a modified non-hyperbolic moveout approximation fromoriginal GMA, to cover up of the weakness of the hyperbolic approximation. The objective of this study is toeliminate “ hockey stick” effect and minimize the residual moveout much smaller at once at the far offsets (offset-depth ratio > 4). In this study, we used synthetic data for single layer model in VTI medium to calculate relativetraveltime error for each recent method over a range of offsets (0 ≤ ODR ≤ 6) and anisotropic parameters (0 ≤ ≤ 0.5). We also make comparative method for multi layer and implement it in a velocity analysis and residualmoveout calculation. The three-ray GMA shows a better capability than comparative method to reduce residualmoveout for larger offset. This result is important for enhancing seismic imaging