  We study the possibility of generating tiny neutrino mass through a
combination of type I and type II seesaw mechanism within the framework of an
abelian extension of standard model. The model also provides a naturally stable
dark matter candidate in terms of the lightest neutral component of a scalar
doublet. We compute the relic abundance of such a dark matter candidate and
also point out how the strength of type II seesaw term can affect the relic
abundance of dark matter. Such a model which connects neutrino mass and dark
matter abundance has the potential of being verified or ruled out in the
ongoing neutrino, dark matter as well as accelerator experiments.
