The invention aims at the special requirement of the memristor as the electronic component of the processor, presents a neuron and neuron circuit based on the memristor of brain-like device, which canrealize the signal storage and processing similar to human neuron cell, and its single neuron cell can be extensively connected with hundreds of memristors, which provides a very feasible circuit design way for the large-scale use of memristors. In combination with other types of electronic devices such as CMOS tubes, a selector, a nanowire, and pulse design, the invention creatively solves the polysynaptic connection in biology of neuron cell designed by memristor as the core device of processor, forward stimulation, backward stimulation, nuclear storage, synaptic front-end, protruding back-end and other biological design issues, to achieve (forward and backward) signal processing within neurons and transmission between neurons, and build the corresponding neuronal cells and neural network circuits.