  We study black hole solutions in the Einstein-Gauss-Bonnet gravity with the
dilaton and a negative ``cosmological constant''. We derive the field equations
for the static spherically symmetric ($k=1$) and hyperbolically symmetric
($k=-1$) spacetime in general $D$ dimensions. The system has some scaling
symmetries which are used in our analysis of the solutions. We find exact
solutions, i.e., regular AdS solution for $k=1$ and a massless black hole
solution for $k=-1$. Nontrivial asymptotically AdS solutions are obtained
numerically in D=4 -- 6 and 10 dimensional spacetimes. For spherically
symmetric solutions, there is the minimum horizon radius below which no
solution exists in D=4 -- 6. However in D=10, there is not such lower bound but
the solution continues to exist to zero horizon size. For hyperbolically
symmetric solution, there is the minimum horizon radius in all dimensions. Our
solution can be used for investigations of the boundary theory through AdS/CFT
correspondence.
