We apply the conformational space annealing (CSA) method
to the Lennard-Jones clusters
and  find all known lowest energy configurations up to 201 atoms,
without using extra information of the problem such as
the structures of the known global energy minima.
In addition, the robustness of the algorithm with respect to the
randomness of initial conditions of the problem is demonstrated by ten successful independent runs up to 183 atoms.
Our results indicate that the CSA method is a
general and yet efficient global optimization algorithm applicable to
many systems.