Based on the characteristics of the matrix representation for cubic B-spline(CB),the properties of CB and the continuity conditions that interpolation curves should satisfy at the connecting points,a matrix representation for cubic B-spline interpolation(CBI) curve is presented;then,it is generalized to derive the matrix representation for bicubic B-spline interpolation surface.The open and closed plane interpolatiion curves,space interpolation curves and interpolation surface patches are constructed.The method in this paper possesses significant advantages compared with traditional interpolation approaches,which may lead to more widely application in practice.