A 3D rankine panel method was developed for calculating the linear wave-making resistance of a tri-maran with Wigiey hulls. In order to calculate the normal vector and derivative of the body surface accurately,non-uniform rational B-spline (NURBS) was adopted to represent body surface and rankine source density.The radiation condition is satisfied using the numerical technology of staggered grids. Numerical results showthat the linear wave-making resistance of the trimaran can be calculated effectively using this method.