  We formulate a stochastic gauge fixing method to study the gauge dependence
of the Abelian projection. We consider a gauge which interpolates between the
maximal Abelian gauge and no gauge fixing. We have found that Abelian dominance
for the heavy quark potential holds even in a gauge which is far from maximally
Abelian one. The heavy quark potentials from monopole and photon contribution
are calculated at several values of the gauge parameter, and the former part
shows always the confinement behavior.
