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Radial Basis Function (RBF) Networks are used for contingency evaluation of bulk power system. The off-line Newton-Raphson load flow calculation are adopted to construct two kinds of performance indexes, Pip (active power performance index) and PIv (reactive power performance index) which reflect the severity degree of contingencies. The results of off-line load flow calculation are used to train a Radial Basis Function Neural Network for estimating the predefined performance indices. The effectiveness of the purposed method is demonstrated by contingency ranking on IEEE 30-Bus test system. Faster analysis times for contingency ranking are obtained by using the Neural Network.