  We study the production of a light charged Higgs boson at the future Large
Hadron electron Collider (LHeC), through the process $e^- p \to \nu_e H^- q$
considering both decay channels $H^- \to b \bar c$ and $H^- \to \tau \bar
\nu_\tau$ in the final state. We analyse these processes in the context of the
2-Higgs Doublet Model Type III (2HDM-III) and assess the LHeC sensitivity to
such $H^-$ signals against a variety of both reducible and irreducible
backgrounds. We confirm that prospects for $H^-$ detection in the 2HDM-III are
excellent assuming standard collider energy and luminosity conditions.
