For diagnosing the multiple-fault more effectively, this paper provides a new method for digital circuit fault diagnosis by using the fault truth table to token the circuit information in the state of fault and free-fault. The method uses the model of BP network and error back propagation algorithm, using the valuable information extracted from the circuit as the sample to study the model, to achieve the intention of fault diagnosis from the single-fault to multiple-fault. We can draw a conclusion from the experiment that this method is not only effective but also convenient for the fault detection and location and provide a new thought for the study of multiple-fault diagnosis in the future.