Musgraves premiered "High Horse", the third song from the album, on March 22, 2018, on Zane Lowe's Beats 1 Apple Radio show. On March 29, 2018, she performed "Slow Burn" on The Late Show with Stephen Colbert. Golden Hour was released on March 30, 2018, on MCA Nashville. On May 12, 2018, Musgraves was the musical guest on Saturday Night Live, performing "High Horse" and "Slow Burn". Through June and July, Musgraves was the opening act on the second North American leg of Harry Styles: Live on Tour. In September, Musgraves appeared on a rerecorded version of "There's No Gettin' Over Me" with Ronnie Milsap for his 2019 duet album. On October 2, 2018, she appeared on Jimmy Kimmel Live! as the musical guest. In October 2018, Musgraves embarked on the "Oh, What a World Tour" in support of Golden Hour. The tour began in Oslo, Norway on October 13. In February 2019, Golden Hour won Album of the Year at the 61st Annual Grammy Awards. That same month, Musgraves released "Rainbow" as the fifth single from the album.