  In this paper we show that warped AdS$_{3}$ black hole spacetime is a
solution of the generalized minimal massive gravity (GMMG) and introduce
suitable boundary conditions for asymptotically warped AdS$_{3}$ spacetimes.
Then we find the Killing vector fields such that transformations generated by
them preserve the considered boundary conditions. We calculate the conserved
charges which correspond to the obtained Killing vector fields and show that
the algebra of the asymptotic conserved charges is given as the semi direct
product of the Virasoro algebra with $U(1)$ current algebra. We use a
particular Sugawara construction to reconstruct the conformal algebra. Thus, we
are allowed to use the Cardy formula to calculate the entropy of the warped
black hole. We demonstrate that the gravitational entropy of the warped black
hole exactly coincide with what we obtain via Cardy's formula. As we expect the
warped Cardy formula also give us exactly the same result which we obtain from
usual Cardy's formula. We calculate mass and angular momentum of the warped
black and then check that obtained mass, angular momentum and entropy satisfy
first law of the black hole mechanics. According to the results of this paper
we belief that the dual theory of the warped AdS$_{3}$ black hole solution of
GMMG is a Warped CFT.
