Abstract: In view of the deficiency of the piecewise cubic Hermite interpolating splines in shape adjustment and continuity, the C³ piecewise seventh-degree Hermite interpolating splines with two parameters are presented in this paper. First, a class of seventh-degree Hermite basis functions with two parameters is constructed. Then, the piecewise seventh-degree Hermite parametric spline curves are defined on base of the proposed basis functions, and the parameter selection of the spline curves is discussed. Finally, the piecewise seventh-degree Hermite spline interpolation function is studied, and the interpolation error and the method for determining the optimal interpolation function are given. Example results show that, when the interpolation conditions remain unchanged, piecewise seventh-degree Hermite parametric spline curves not only achieve C³ continuity, but also can realize shape control through the two parameters. By determining the optimal values of the two parameters, the piecewise seventh-degree Hermite spline interpolation function can obtain better interpolation results.