  We construct the mean field asymptotics of a solution of initial-value
problem of the generalized quantum kinetic equation and a sequence of
explicitly defined unctionals of a solution of stated kinetic equation. As a
result the quantum Vlasov kinetic equation is rigorously derived. Moreover, in
case of the presence of correlations of particles at initial time the mean
field limit of a solution of the generalized quantum kinetic equation is
constructed.
