Norse will operate the route, which takes off on 12 September, using a two-class Boeing 787 Dreamliner aircraft.
It has given the route "its own lucky number seven" in honour of Sin City, designating it flight Z0777.
Economy fares lead in from £399pp while premium fares start from £1,029pp, including taxes and fees.
Stephanie Wear, Gatwick’s vice-president of aviation development, said she was pleased to see Norse continuing to grow its network at Gatwick.
"Las Vegas is a popular leisure route and it’s fantastic to see direct flights return from September for the winter season, complementing existing summer services from London Gatwick," said Wear.