  We study the generation of neutrino masses and mixing in supersymmetric
R-parity violating models containing two pairs of Higgs doublets. In these
models, new RPV terms $\hat H_{D_1} \hat H_{D_2} \hat E$ arise in the
superpotential, as well as new soft terms. Such terms give new contributions to
neutrino masses. We identify the different parameters and
suppression/enhancement factors that control each of these contributions. At
tree level, just like in the MSSM, only one neutrino acquires a mass due to
neutrino-neutralino mixing. There are no new one loop effects. We study the two
loop contributions and find the conditions under which they can be important.
