  Recently we have reported the correct formulation of the hadron formation
from the quarks and gluons by using the lattice QCD method at the zero
temperature. Similarly we have also reported the correct formulation of the
hadron formation from the thermalized quark-gluon plasma by using the lattice
QCD method at the finite temperature. In this paper we extend this to
non-equilibrium QCD and present the correct formulation of the hadron formation
from the non-equilibrium quark-gluon plasma by using the closed time path
integral formalism. Hadron formation from the non-equilibrium quark-gluon
plasma is necessary to detect the quark-gluon plasma at RHIC and LHC.
