Abstract: In reality, in addition to synapse coupling, magnetic flux coupling between neurons exists. Therefore, it is of practical significance to investigate the firing activity of neural network under field coupling. A Hodgkin-Huxley memristive neural model under field coupling is constructed, in which a distance-weighte between neurons is introduced. Then, effect of time-varying electromagnetic field is described with magnetic flux and a flux-controlled memristor is used to realize coupling between membrane potential and magnetic flux. The influence of distance-weighted and system size on the firing activity of memristive neural model under field coupling is studied. Experimental results show that with the increase of weight, the firing activity of neural network is enhanced. Besides, in order to induce neuronal excitability, threshold of weight increases as system becomes larger. Nevertheless, the evolution behavior of neural network activity with different weight is not affected by the system size. On the other hand, with different weight the evolution behavior of neural network activity of different systems is obviously different. These phenomena demonstrate that the weight and system size are important for the firing activity of memristive neural network under field coupling, and especially, the distance-weighte plays a leading role.