  It is shown that the 3-3-1 model with the minimal lepton content can work as
two-Higgs-triplet 3-3-1 model while leaving the other scalars as inert
particles responsible for dark matter. We study two cases of dark matter
corresponding to the doublet and singlet scalar candidates. We figure out the
parameter spaces in the WMAP allowed region of the relic density. The indirect
and direct searches for dark matter in both cases are investigated by using
micrOMEGAs.
