  The simplest way of studying systematically R-parity violating phenomena is
by introducing a bilinear term in the superpotential of the type $\epsilon\hat
L\hat H_2$, which violates R-parity and lepton number but keep barion number
conserved. In its simplest version, this ``$\epsilon$--model'' is a two
parameter extension of the MSSM and a one parameter extension of the
MSSM--SUGRA. Here we study the charged Higgs sector of the model, which mixes
with the stau sector, and compare it with the charged Higgs sector of the MSSM.
We demonstrate that $m_{H^{\pm}}$ can be lower than $m_W$ already at tree
level, and calculate the production cross section of pairs of charged Higgs and
staus. In this model it is possible the mixed production of a charged Higgs and
a stau and its production cross section can be sizable. We finally comment
about the new R-parity violating decay modes of the charged scalars.
