In this article, we systematically study the stability and chemical bond nature of EH4Ng+ compounds (E = Al-Tl; Ng = He-Rn) at the CCSD(T) and ωB97XD levels of theory. Thermochemical calculations obtained by exploring different dissociation pathways show that these compounds could be stable at low temperatures. In addition, studied compounds have a strong E-Ng bond, which has been characterized using different methodologies such as quantum theory of atoms in molecules (QTAIM), natural bond orbital (NBO) theory, and natural energy decomposition analysis (NEDA). Results indicate that the nature of the chemical bond is predominantly covalent, especially in the case those including the heavier gases (Ar-Rn), occurring through a charge transfer from the noble gas to the group 13 element. However, the electrostatic contribution is also important in the stabilization of this bond. This study extends the universe of group 13 molecules containing noble gas bonds beyond boron and other elements from the second period.