Title: A universality theorem for Voevodsky's algebrac cobordism spectrum Authors: Ivan Panin, Konstantin Pimenov, Oliver Roendigs Authors' e-mail addresses: paniniv@gmail.com,kip302002@yahoo.com,oroendig@math.uni-osnabrueck.de Abstract: Let MGL be Voevodsky's algebraic cobordism ring spectrum. We prove that the set of ring spectrum homomorphisms from MGL to any given ring spectrum E in the motivic stable homotopy category is isomorphic to the set of orientations on E. This theorem was originally stated by Vezzosi. It is a motivic version of Quillen's theorem on complex cobordism.