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This project investigates the emergence of phase synchronization in a network ofrandomly connected neurons by chemical synapses. The study uses the classic Hodgkin–Huxley model to simulate the neuronal dynamics under the action of a train of Poissonianspikes. In such a scenario, we observed the emergence of irregular spikes for a specific rangeof conductances and also that the phase synchronization of the neurons is reached when theexternal current is strong enough to induce spiking activity but without overcoming the couplingcurrent. Conversely, if theexternal current assumes very high values, then an opposite effect is observed, i.e., theprevention of the network synchronization. We explain such behaviors considering differentmechanisms involved in the system, such as incoherence, minimization of currents, andstochastic effectsfrom the Poissonian spikes.