Swenson was honored with numerous literary awards and nominations. This page features just a handful of publications related to them. She taught and served as poet-in-residence at many institutions in both the United States and Canada, and she held fellowships from the Ford Foundation, the Guggenheim Foundation, the National Endowment for the Arts, the Rockefeller Foundation, and the MacArthur Foundation. She was the recipient of the Shelley Memorial Award, the Bollingen Prize, and Award in Literature from the National Institute of Arts and Letters. She received an honorary degree from Utah State University as well as their Distinguished Service Gold Medal. She served as a Chancellor of the Academy of American Poets from 1980-1989.