In this contribution, we discuss the light charged Higgs boson production via $pp \to t bH^\pm$ at the Large Hadron Collider (LHC) in the Two-Higgs Doublet Model (2HDM) type-III. We explore the prospect of looking the aforementioned Higgs boson production channel followed by $H^\pm\mu\nu$ signal. The latter has the potential to be overwhelmingly stronger than $H^\pm\tau\nu$ and $H^\pm c\bar{s}$ signals in type-III. We show that in both scenarios standard and inverted hierarchy and after including several theoretical and experimental constraints, the production process $pp \to tbH^\pm$ followed by $H^\pm\to \mu\nu$ could represent the most promising experimental option to search for light charged Higgs boson at the LHC.