Abstract：An algorithm with multi-features for curves interpolation on adjustable surface was proposed. Similarity parameter of the result surfaces was introduced and the control mesh was modified topologically so as to meet the requirement of curves interpolation and maintain the different similarities between result surface and initial control networks at the same time. Two-side adjustable parameters were introduced. It used the predefined curvature to adjust the bended degree of the curves and created the curvature control formula. The result shows it is available to the curve interpolating adjustable surfaces and the extremely surfaces are diverse.