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The production process of the charged Higgs-boson associated with a $W$ bosonat electron-positron colliders is discussed in the two-Higgs-Doublet Model(2HDM) and in the Minimal Supersymmetric Standard Model (MSSM). The process isinduced at one-loop level in these models. We examine how much the crosssection can be enhanced by quark- and Higgs-loop effects. In the non-SUSY 2HDM,in addition to large top-bottom ($t$-$b$) loop effects for small $\tan \beta$($\ll \sqrt{m_t/m_b}$), the Higgs-loop diagrams can contribute to the crosssection to some extent for moderate $\tan \beta$ values. For larger $\tan\beta$ ($\gg \sqrt{m_t/m_b}$), such enhancement by the Higgs non-decouplingeffects is bounded by the requirement for validity of perturbation theory. Inthe MSSM with heavy super-partner particles, only the $t$-$b$ loops enhance thecross section while Higgs-loop effects are very small.Comment: The published version. Several improvements have been done. 1 latex  plus 9 ps files for figures. (text 20 pages). To appear in European Physical  Journal

Possible enhancement of the $e^+e^- \rightarrow H^\pm W^\mp$ cross section in the two-Higgs-doublet model