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A new approach based on an artificial neural network (ANN) is presented for the forecasting of machining precision of plane grinding. The ANN model is based on GCAOBP (Globally Convergent Adaptive Quick Back Propagation) algorithm. A genetic algorithm (GA) was then applied to the trained ANN model to predict the machining precision. The integrated GCAOBP-GA algorithm was successful in predicting the value of PV (Peak to Valley) of machined workpiece using the machining environment parameters. The results of verification experiments have shown that the PV of workpiece profile in plane grinding process can be predicted effectively through this approach.