Ortiz is a recipient of the New Mexico Humanities Council Humanitarian Award, the National Endowment for the Arts Discovery Award, the Lila Wallace Reader's Digest Writer's Award, a National Endowment for the Arts Fellowship, and was an Honored Poet recognized at the 1981 White House Salute to Poetry.[7]
In 1981, From Sand Creek: Rising In This Heart Which Is Our America, received the Pushcart Prize in poetry.[7]
Ortiz received a Lifetime Achievement Award from the Returning the Gift Festival of Native Writers (the Wordcraft Circle of Native Writers and Storytellers) and the Native Writers' Circle of the Americas (1993).[8]