Determining the optimal black-start restoration strategy is one of the most important issues having impacts on therestoring speed of a power system after a blackout. However， some parameters employed in making the decision such as valuesand weights of some indices are difficult to be quantified or their variable domains are large， and as a result how to properlyhandle these parameters or study the impacts of the variances of these parameters on the decision-making result is an importantissue to be examined. Given this background， the sensitivities of a black-start restoration strategy with respect to someparameters mentioned before are studied， and a method based on the simple additive weighting model presented for thispurpose. The impacts of the variances of the values and weights of indices on the ranking of the black-start strategies areexamined， and the sensitivity intervals which may lead to the change of the ranking obtained. The sensitivity analysis resultscould be a very useful reference for dispatchers in making the optimal decision-making of the black-start strategy， so as to takeappropriate measures against the variances of those factors in the restoration process. Finally， a numerical example is used todemonstrate the developed method.