The water waves were numerically studied by the elliptic mild-slope equation which introduced wave-breaking effect and considered the refraction,diffraction and reflection on the near-shore mild-slope coastal.Under a automatic quad-tree grid system,the numerical model was solved by finite volume method.The primary grid would be divided if the local wavelength is smaller-than-eightfold grid width to insure the accuracy of the elliptic mild-slope equation.The numerical results were compared with physical experiment data and the field measurement data,and the results showed that the numerical model has preferable adaptation to near-shore complex zones.