As the main characteristic of smart grid, self-healing has important research significance, but so far there has not been a comprehensive self-healing ability measurement standard of smart distribution network. The existing self-healing evaluation of smart distribution network mainly has some problems, such as incomplete quantitative indicators and ignoring the uncertainties in the process of self-healing, which leads to inaccurate evaluation and higher than the actual results. In order to solve the above problems, two aspects of work have been carried out in this paper. 1) Four quantitative indexes of self-healing credibility, self-healing rate, self-healing speed and self-healing benefit have been Uncertainty or uncertainty is used to quantitatively describe the self-healing certainty so as to solve the problems of uncertainty and insufficient samples in the self-healing evaluation process. Finally, the effectiveness and accuracy of the proposed evaluation index and evaluation method are verified by the simulation analysis of the structure of the power distribution system with 7 sections.