  The dual superconductivity is a promising mechanism for quark confinement. We
proposed the non-Abelian dual superconductivity picture for SU(3) Yang-Mills
theory, and demonstrated the restricted field dominance (called conventionally
"Abelian" dominance), and non-Abelian magnetic monopole dominance in the string
tension. In the last conference, we have demonstrated by measuring the
chromoelectric flux that the non-Abelian dual Meissner effect exists and
determined that the dual superconductivity for SU(3) case is of type I, which
is in sharp contrast to the SU(2) case: the border of type I and type II.
  In this talk, we focus on the confinement/deconfinemen phase transition and
the non-Abelian dual superconductivity at finite temperature: We measure the
chromoelectric flux between a pair of static quark and antiquark at finite
temperature, and investigate its relevance to the phase transition and the
non-Abelian dual Meissner effect.
