The Milton Keynes-based squad took its third drivers' and constructors' championship in 2012, with Sebastian Vettel becoming the youngest ever triple champion after a close fight with Ferrari rival Fernando Alonso.
The Renault-powered RB9 is the ninth Formula 1 single-seater created by Red Bull since taking over the Jaguar team for the start of the 2005 season.
Red Bull's new challenger has again been designed by a team led by Adrian Newey, who said at the end of last year that it was getting harder and harder to find gains for the 2013 car given the rules stability.
"It is increasingly difficult because there are no real regulations changes compared to this year and it will be the fifth season since the 2009 rule changes," Newey told AUTOSPORT.
"The field is converging and you can see how competitive it is in the fact that we had eight different winners this year."
The new Red Bull will take to the track on Tuesday at Jerez, with Vettel's team-mate Mark Webber doing the driving.
