  We look for a Brans-Dicke type of generalization of the Horava-Lifshitz
gravity. It is shown that such a generalization is possible within the detailed
balance condition. Classically, the resulting theory reduces in the IR limit to
the usual Brans-Dicke theory with a negative cosmological constant for certain
values of parameters. We then consider homogeneous and isotropic cosmology and
study the effects of the new terms appearing in the model.
