Abstract: Nowadays, brain-inspired computing is one of the most important international research frontiers of science and technology. The paper is focused on the topic about brain-inspired computing. The features, research contents and situation of brain-inspired computing were discussed. Brain-inspired computing is not only the simple simulation of neurons in human being's brains, but also the simulation for the rules of people's information processing, complex working mode, and the essence nature of human being's thought, study, deduction and decisions making. As brain-inspired computing is enlightened by the process of human's reasoning, judging, and decisions making, pulsed neural networks (pulsed NNs) incorporated with temporal and spatial information simultaneously, which are bio-plausible and different from the traditional artificial neural networks, are suitable for brain-inspired computing. Pulsed NNs' characters, neuron models, and pulsed encoding and the applications in pattern recognition and other disciplines were presented in this paper. The situation and future direction of the research of brain-inspired computing methods and neuromorphic chips based on pulsed NNs were discussed. Brain-inspired computing based on pulsed NNs will significantly affect our life and economy in the future.