The rate of convergence for Newman-type rational interpolation to |x| is studied in this paper.It is proved that,by increasing nodes near the zero,the exact order of the approximation to |x| by Newman-type rational interpolation at the Newman nodes can be improved to O(n-1/2 e-3√n/2),the result is better than the classical results of Newman [2].Further explanation:increases nodes in the near zero can improve the approximation order of the original [16].