  We have proposed the non-Abelian dual superconductivity in SU(3) Yang-Mills
theory for the mechanism of quark confinement,and we presented the numerical
evidences in preceding lattice conferences by using the proposed gauge link
decomposition to extract magnetic monopole in the gauge invariant way. In this
talk, we focus on the dual Meissner effects in view of the magnetic monopole in
SU(3) Yang-Mills theory. We measure the chromoelectric and chromomagnetic flux
due to a pair of quark and antiquark source at finite temperature. Then, we
measure the correlation function of Polyakov loops and Polyakov loop average at
various temperatures, and investigate chromomagnetic monopole current induced
by chromo-magnetic flux in both confinement and deconfinement phase. We will
discuss the role of the chromoelectric monopole in confinement/deconfinement
phase transition.
