Abstract: In the garment pattern design,the requirement for constructing a curve is a common occurrence.Namely,the curve passes through endpoints of a given polygon and is tangent to the first control line and the last control line of that polygon.The cubic Bzier spline curve is provided for this curve design.Compared with the arc spline and B spline methods,the cubic Bzier spline curve is characterized by easy accomplishment of a curve.The generated cubic Bzier spline curve is smooth because it is G~2 continuity at the patch point inside the curve.Compared with the common Bzier curve,the cubic Bzier spline curve can be adjusted by a designer according to parameters,so it can change the form of the curve and increase the diversity of garment styles.This modeling method will find wide applications in the field of computer-aided garment design.