We propose a novel source recovery algorithm for underdetermined blind source separation, which can result in better accuracy and lower computational cost. On the basis of the model of underdetermined blind source separation, the artificial neural network with single-layer perceptron is introduced into the proposed algorithm. Source signals are regarded as the weight vector of single-layer perceptron, and approximate ?0-norm is tak-en into account for output error decision rule of the perceptron, which leads to the sparse recovery. Then the procedure of source re-covery is adjusting the weight vector of the perceptron. What’s more, the optimal leing factor is calculated and a descent sequence of smoothed parameter is used during iteration, which improves the performance and signifi-cantly decreases computational complexity of the proposed algorithm. The simulation results reveal that the algorithm proposed can recover the source signal with high precision, while it requires lower computational cost.