  If non-Abelian gauge fields in $SU(3)$ QCD have a line-singularity leading to
non-commutativity with respect to successive partial-derivative operations, the
non-Abelian Bianchi identity is violated. The violation as an operator is shown
to be equivalent to violation of Abelian-like Bianchi identities. Then there
appear eight Abelian-like conserved magnetic monopole currents of the Dirac
type in $SU(3)$ QCD. Exact Abelian (but kinematical) symmetries appear in
non-Abelian $SU(3)$ QCD. Here we try to show the Abelian dual Meissner effect
due to the above Abelian-like monopoles are responsible for color confinement
in $SU(3)$ QCD. If this picture is correct, the string tension of non-Abelian
Wilson loops is reproduced fully by that of the Abelian Wilson loops. This is
called as perfect Abelian dominance. In this report, the perfect Abelian
dominance is shown to exist with the help of the multilevel method but without
introducing additional smoothing techniques like partial gauge fixings,
although lattice sizes studied are not large enough to study the infinite
volume limit. Perfect monopole dominance is also shown without any additional
gauge fixing. Abelian electric fields are squeezed due to solenoidal monopole
currents and the penetration length for an Abelian electric field of a single
color is the same as that of non-Abelian electric field. The coherence length
is also measured directly through the correlation of the monopole density and
the Polyakov loop pair. The Ginzburg-Landau parameter indicates that the vacuum
type is the weak type I (dual) superconductor. The results obtained above
without any additional assumptions as well as more clear previous $SU(2)$
results seem to suggest strongly the above Abelian dual Meissner picture of
color confinement mechanism.
