Two medals are awarded in Ørsted's name: the H. C. Ørsted Medal for Danish scientists, awarded by the Danish Society for the Dissemination of Natural Science (SNU), as founded by Ørsted, and the Oersted Medal for notable contributions in the teaching of physics in America, awarded by American Association of Physics Teachers.
The Technical University of Denmark hosts the H. C. Ørsted Lecture series for prominent and engaging researchers from around the world.