SIGMA, JURNAL SAINS DAN TEKNOLOGI, Vol. 13, No. 1 Januari 2010, ABSTRAK : We improse the symmetry princoples to elaborate and evaluate the invariance of the abelian and non-abelian guages and evaluate its implication to the laws of physics. The aplication of the symmetry principle into the field which undergeon a rotation in a phase space implies the exixtence of an abelian gauge field meanwhile, the aplication of symmetry principle to the dirac field as a doublet of SU(2) group implies the existence of a non-abelian gauge field whit structure constant satisfies the Lie group algebra