  Using the Weinberg operator, we present a full collection of genuine two-loop
models for neutrino mass generation, which contain a dark matter particle as
one of the internal messengers. These models can be constructed simply by
adding new fields that are singlets or doublets of SU(2)L. We ensure the
stability of the dark matter candidate by the addition of a Z2 symmetry that
will also be used to forbid tree level or one-loop diagrams. Thus we only
present models where the main contribution for neutrinos masses is generated
from the corresponding two-loop diagram. We also discuss a short outline
corresponding to some phenomenological characteristics of these models.
