In order to study the interaction between underwater explosion bubble and surface waves, numerical and analytical methods are combined in this paper to solve the singular problem of the opened free surface and to consider the influence of far field. Then we decompose the velocity potential into incident potential due to the waves and the disturbing potential due to the bubble to consider the influence of waves. With the numerical model, interaction between the underwater explosion bubble and surface waves and the influence of wavelength and initial phase on the bubble dynamics are analyzed in this paper. Through the analysis of the numerical results, following conclusions are reached. During the collapsing phase of the bubble, the existence of the waves would budge the upside bubble and the downward liquid jet, while for the spike of the free surface, the influences on its height and width are considerable besides its migration. These magnitudes of influence are changed with the initial phase periodically, and decrease with the increase of wavelength in the range considered in this paper.