Light and heavy charged Higgs bosons are predicted by many models with an extended Higgs sector such as the two-Higgs-doublet model (2HDM). Searches for the charged Higgs bosons have been done by the ATLAS and the CMS experiments at the Large Hadron Collider (LHC) in proton-proton collision. However, a definitive search of charged Higgs bosons still has to be carried out by the LHC experiments. The experimental observation of charged Higgs bosons would indicate physics beyond the Standard Model. In the present work we study the O(α s ) correction to the energy spectrum of the inclusive bottom-flavored mesons (X b ) in polarized top quark decays into a light charged Higgs boson (m H + < m t ) and a massless bottom quark followed by the hadronization process b → X b in the type-I 2HDM, i.e. t(↑) → H + b → H + X b + Jet. This spin-dependent energy distribution is studied in two different helicity coordinate systems. This study could be considered as a new channel to indirect search for the charged Higgs bosons. To present our phenomenological predictions, we restrict ourselves to the constraints on the m H + − tan β parameter space determined by the recent results of the CMS and the ATLAS collaborations.