Sebastian Vettel settled for second place as championship rivals Fernando Alonso and Kimi Raikkonen faltered at the Monaco Grand Prix.
Vettel came home second ahead of Red Bull team-mate Mark Webber in third to open his championship lead to 21 points.
Racing around the Principality has always been the biggest test of the season for F1 drivers, particularly with the lack of overtaking opportunities.
And that hindered the Tilbrook team’s drivers in the early stages as they followed Mercedes’ Nico Rosberg and Lewis Hamilton without being able to overtake.
Only a misjudged pit-stop from Hamilton under the safety car allowed the Red Bulls to jump him and finish on the podium.
But with two safety car periods and a red flag, Webber and Vettel needed to stay alert in the race which went over the two-hour time limit.
Team boss Christian Horner was pleased to get the better of their rivals.
“Second and third with the least amount of time for both our cars in the pit lane today is a very positive team result,” he said. “We managed to get both cars ahead during the pit stops and safety car period, in what turned out to be a relatively processional race due to everyone adopting a one-stop strategy.
“At Monaco you can never overtake, so it was all about conserving tyres and managing the pace until the end of the race.
“As we saw with Sebastian, the pace was there as he set the fastest lap, but today I think second and third was probably optimum from our grid positions.”