This work comprehensively studies the intermolecular H … O and H … N hydrogen bonding (HB) interactions between 3H‐pyrrol‐3‐one as a computationally simple model Lewis base (LB) comprising two different basic centers (sp2 hybridized O and N atoms) and hydrogen halides (Hal‐H, Hal = F, Cl, Br, and I) as common Lewis acids (LAs). In an equimolar mixture of LB and any of LAs, the formation of H … O and H … N HBs can compete with each other over the course of binary (dimer) complexation processes. Computed values of counterpoise‐corrected interaction energies (CP‐IE) together with energy decomposition analysis (EDA) through symmetry‐adapted perturbation theory (SAPT) reveal that these HBs should be classified as “weak‐to‐medium” ones which are mainly dominated with electrostatic interactions. Among many explored correlation analyses, within the binary complexes formation, the values of CP‐IE are perfectly linearly correlated with those of electron density at the bond critical points of the mentioned HBs,
ρBCP, leading to two different regression equations as
italicCP ‐
italicIE=a×ρBCP+b. These equations allow that an accurate prediction of the value of CP‐IE for H … O and H … N HBs is made feasible using the value of easily and rapidly computable
ρBCP without an explicit (direct) calculation of the so costly CP‐IE. Such equations, also, were used to accurately and individually predict CP‐IE values in ternary (trimer) complexes where both of approximately pairwise additive H … O and H … N HBs can be formed at once. Moreover, in terms of the calculated values of cooperativity energies, these two HBs make each other weaken portraying an anticooperativity in the ternary complexes studied.