The site is set to be a luxury apartment complex called the Viceroy Dubai Jumeirah Village.
This is the fifth fire at a skyscraper in Dubai since 2012.
Most recently, a fire broke out at a 75-story tower in Dubai at the end of July.
On Wednesday, an Emirates Airline plane caught fire and was forced to make an emergency landing at Dubai International airport. All passengers and crew made it safely off the plane.
Twitter users have posted photos and videos of the fire:
Tower on fire in #Dubai's Jumeirah Village Circlehttps://t.co/NtUdsBGtwp pic.twitter.com/KuyKbxk3wa
- newsofbahrain (@newsofbahrain) August 6, 2016
Massive fire breaks out in Dubai luxury 60 storey tower https://t.co/hBm97R4MfW pic.twitter.com/JFBU6RBoko
- Blog Factory (@blog_factory) August 6, 2016
Fire at #skaitower #dubai pic.twitter.com/7AtpNHKKKi
- Gkbozkurt (@Dubaide1Capulcu) August 6, 2016
No injuries reported in the fire at a building in Jumeirah Village Circle #Dubai #??? pic.twitter.com/VyuJqGG4b5
- Nizar Al Asmar (@nizarotta) August 6, 2016