  The elastic hadron-hadron scattering at high energies is one of the most
fundamental subjects of all particle physics problems and yet is least
understood in spite of many advances in quantum chromodynamics (QCD) at the
conceptual level. We review here the recent theoretical and experimental status
of the subject as well as the rigorous results of the high energy hadron-hadron
scattering. Surprisingly enough, the high-energy models for the elastic and
diffractive scattering abstracted from the Regge-Pomeron field theory is still
{\it phenomenologically} successful to explain the high-energy scattering data
though no rigorous derivation out of the QCD is yet available.
