The geometrical structure of the local non-Abelian gauge theory has been an
alysed in terms of the magnetic symmetry. Based on it, the mathematical fou
ndation of dual QCD in fibre bundle form has been discussed mainly to analy
se the confinement mechanism of QCD vacuum. The dynamical breaking of magne
tic symmetry leading to the magnetic condensation (dual superconductivity)
of QCD vacuum has been shown to push the system in confined phase. The flux
tube structure of dual QCD vacuum has been analysed by computing the asymp
totic string solutions of the field equations and the string energy has bee
n computed which resembles with the Abrikosov vortex in the type-II superco
nductor. Supersymmetrising the dual QCD version for the case of N=1 Supersy
mmetry, the topological structure of supersymmetric dual QCD (SDQCD) has be
en investigated and the effect of the dynamical breaking of magnetic symmet
ry in terms of the probable state of Supersymmetric dual Superconductivity
in SDQCD vacuum is analysed.