  In this paper, we construct a family of asymptotically hyperbolic manifolds
with horizons and with scalar curvature equal to -6. The manifolds we
constructed can be arbitrary close to anti-de Sitter-Schwarzschild manifolds at
infinity. Hence, the mass of our manifolds can be very large or very small. The
main arguments we used in this paper is gluing methods which was used in
\cite{M}.
