This paper studied the synchronization of Hindmarsh–Rose neuron coupled system based on numerical simulation of time delay through theoretical derivation and numerical simulation. Researches found that coupling strength can influence the discharge activity of coupled neuron system and the synchronization of the coupled neurons. Adjusting coupling strength between coupled neuron systems can change two neuron systems from non-synchronization to synchronization. Meanwhile, the researches also found that proper time delay can change two Hindmarsh–Rose neuron systems coupled by electrical synapse from synchronization to non-synchronization, and then destroy the system’s synchronization.