To explore functional properties of previously undescribed physiologically plausible type of rectifying electrical synapses we consider a LIF model of a pair of neurons with a significant post-impulse hyperpolarization and independent for each neuron multiple random excitatory and inhibitory inputs, in presence and absence: (1) of mutual excitation in the form of switching off of the inhibitory inputs to the partner neuron by impulses of the referent neuron; (2) of symmetric rectifying electrical synapses between the neurons such that in a range of ± 30 mV around zero value of difference of the membrane potentials of the neurons, the electrical conductance between the neurons is zero due to the synapses rectifying properties. The salient effects of the studied excitatory interaction between neurons on the cross-correlation of their impulse activity is characterized in detail. It is demonstrated that switching on the electrical synapses between neurons almost abolishes the effect of excitatory interneuron interaction on the cross-correlation of the neuronal impulse activity. The possible roles of the revealed computational experiments properties of symmetric rectifying electrical synapses between neurons in the operation of real neural systems are discussed.