  In this paper, we construct models that admit the traversable wormhole
geometries in the framework of Einstein's gravity with two scalar fields. As
well known, the energy conditions are broken and we show that there appears a
ghost. The ghost can be, however, eliminated by imposing a constraint on the
ghost field, which is a scalar. The constraint is similar to the mimetic one
proposed by Chamseddine and Mukhanov to construct an alternative description of
cold dark matter. We explicitly show that there does not appear any unstable
mode although the energy conditions are broken. Therefore we obtain a model
that realizes the traversable and stable wormhole.
