The music video for "Glycerine" was notable for being shot in a very short time period when the band was on tour in the United States. The video was shot so quickly because the band's visas had expired. Though simple and unadorned, the video was highly acclaimed and won several awards, including the MTV Video Music Award - Viewer's Choice as well nominated for Best Alternative Video at the 1996 MTV Video Music Awards. The music video was directed by Kevin Kerslake and shot in Atlanta, Georgia on 2 October 1995.
With the album's third single "Comedown," "Glycerine" shared equal success as their prior single where "Comedown" has reached number one on the Modern Rock Tracks chart for two weeks in September while "Glycerine" also reached number one for two weeks in December. It was also their biggest pop hit, peaking at number 28 on the Billboard Hot 100 on 24 February 1996 and the Hot 100 Airplay on 27 January 1996 beating "Comedown" by 2 spots that also hit the Top 40 but "Glycerine" was not as successful as "Comedown" on the Mainstream Rock Tracks chart where it peaked at number 4 while "Comedown" peaked number 2 on the same chart. The song won the Viewer's Choice Award at the 1996 MTV Music Video Awards. The song was voted number 5 on the Australian annual music poll Triple J Hottest 100 in 1996. "Glycerine" was the band's second crossover hit to Top 40 radio after "Comedown" did the same and was a pop music hit earlier.
The song is also known for being performed live and solo by Gavin Rossdale, during a heavy storm at the 1996 MTV Spring Break performance stage at Club La Vela in Panama City Beach, Florida. Though thunderstorms threatened to cancel the show, Rossdale insisted on performing for a crowd that had waited to see Bush. Footage of the performance was put into video rotation by MTV.