For fairing requirements of the T-Bézier curve, the T-Bézier curve was smoothed by using the energy method. A control point of the T-Bézier curve was modified by using the energy method to make the T-Bézier curve smooth, while it was shown how the interference factor α influenced the smoothness of the T-Bézier curve. It was obtained a method that a fairing T-Bézier curve would be obtained by moving a control point: the α could be determined before the new control point would be found out, the new T-Bézier curve was produced by these new control points. The whole curve would be smoothed: firstly, the interference factors {α_i}_i=1ⁿ were determined; secondly, the equation system whose coefficient matrix was a real symmetric matrix tridiagonal was solved; thirdly, the new control points {P_i}_i=0ⁿ were obtained; finally, the new T-Bézier curve could be produced. Not only overall fairness of the T-Bézier curve but also C² continuity of data points was achieved. Finally, it was shown that the proposed algorithm is simple, practical and effective by three examples.