  We generalize the scalar tensor bigravity models to the non-minimal kinetic
coupling scalar tensor bigravity models with two scalar fields whose kinetic
terms are non-minimally coupled to two Einstein tensors constructed by two
metrics. We show that a broad class of expanding universes can be explained by
some solutions of this model. Then, we study the stability issue of the
solutions by means of imposing homogeneous perturbation on the equations of
motion and extract the stable solutions.
