Recently, noncovalent interactions in complexes and crystals have attracted considerable interest. The current study was thus designed to gain a better understanding of three seminal types of noncovalent interactions, namely: hydrogen, halogen and tetrel interactions with p-systems. This study was performed on three models of Lewis acids: X 3 -C-H, F 3 -C-X and F-T-F 3 (where X ¼ F, Cl, Br and I; andT ¼ C, Si, Ge and Sn) and three p-systems as Lewis bases: benzene (BZN), 1,3,5-trifluorobenzene (TFB) and hexafluorobenzene (HFB). Quantum mechanical calculations, including geometrical optimization, molecular electrostatic potential (MEP), maximum positive electrostatic potential (V s,max ), Point-of-Charge (PoC), potential energy surface (PES), quantum theory of atoms in molecules (QTAIM) and noncovalent interaction (NCI) calculations, were carried out at the MP2/aug cc-pVDZ level of theory.The binding energies were additionally benchmarked at the CCSD(T)/CBS level. The results showed that:(i) the binding energies of the X 3 -C-H/p-system complexes were unexpectedly inversely correlated with the V s,max values on the hydrogen atom but directly correlated with the X atomic sizes; (ii) the binding energies for the F 3 -C-X/p-system and F-T-F 3 /p-system complexes were correlated with the s-hole magnitudes of the X and T atoms, respectively; and (iii) for the F 3 -C-F/p-system complexes, the binding energy was as strong as the p-system was electron-deficient, indicating the dominating nucleophilic character of the fluorine atom. NCI analysis showed that the unexpected trend of X 3 -C-H/p-system binding energies could be attributed to additional attractive interactions between the X atoms in the X 3 -C-H molecule and the carbon atoms of the p-system. Furthermore, the I 3 -Sn-H molecule was employed as a case study of hydrogen, halogen and tetrel interactions with p-systems. It was found that hydrogen and halogen interactions of the I 3 -Sn-H molecule correlated with the electron-richness of the p-system. In contrast, tetrel interactions correlated with the electron deficiency of the p-system.