The Yang-Mills magnetofluid unification is constructed using lagrangian approach by imposing certain gauge symmetry to the matter inside the fluid. The model provides a general description for relativistic fluid interacting with Abelian or non-Abelian gauge field. The differences with the hybrid magnetofluid model are discussed, and few physical consequences of this formalism are worked out.PACS : 12.38. Mh, 47.75.+f Some experimental discoveries and studies suggest that the deconfined quark gluon matter is behaving more like a quark gluon plasma (QGP) liquid [1,2,3]. This fact motivates tremendous works in constructing the non-Abelian fluid models like magnetohydrodynamics [4,5,6,7,8,9,10,11,12].In some recent models [9,10,11], the relativistic hot fluid was described in terms of hybrid magnetofluid field which unifies the electromagnetic and fluid fields. The unification is represented by the effective field strength tensor, M µν ≡ F µν + m/qS µν combining appropriately weighted electromagnetic and fluid fields. The model has *