Abstract: The computation of the new tangents of incenter subdivision scheme is complex and without intuitive geometrical meaning.In this paper,we give a variation of incenter subdivision scheme by modifying the computation of new tangents with simple computation and intuitive geometrical meaning.Given the initial point array and initial tangent vectors,there are two substeps in each subdivision step of our new scheme: firstly the new points and the provisional tangents are determined by the same rules of incenter subdivision scheme,then the new tangent at each point is defined as a linear combination of its provisional tangent as well as the tangent sampled at a circle passing this point and its two adjacent points.The relations between G² continuity and fairness of the limit curves and the selection of combination coefficient in subdivision process are examined by numerical examples.