Abstract: To solve the model-fitting problem with different confidence levels of samples, a Neural-Network (NN)- based twice learning method is proposed. It is pointed out that the real model is a variation of experimental model. The neural network approximation to the mathematical expectation of real model, is believed to be the best network fusing the information of prior samples and real samples. In the first learning, neural network is trained using the prior samples only, and the error capacity intervals of the soft points, which are determined by the information of hard points, are calculated. Then, both prior samples and real samples are included in the training samples. The import-objective errors in the process of NN training are modified, using soft point error capacity intervals and hard point error-sensitivity coefficients. The expected network is generated by the second learning, with accurate fitting to the real samples and efficacious utilization of the prior samples. In contrast with Knowledge-Based Neural Networks (KBNN), this method is simpler and more amenable to manipulation with definite logical significance.