Most existing researches on power system black-start decision-making focus on the selection of appropriate black-start decision-making algorithms. The consistency of black-start decision-making results， and the adjustments of indexes weights and experts weights have not yet received much attention. Against such a background， an intuitionistic fuzzy distance based method is presented to analyze the consistency of black-start group decision-making results. To optimize the consistency of black-start group decision-making results， the weights of indexes as well as those of experts are adjusted after each round of decision-making is carried out， until a decision-making result with an acceptable consistency is achieved. Finally， an actual example is used to demonstrate the characteristics of the proposed method.