"After all the hard work this squad has put in over the last 12 months it is nice to have some silverware. Everyone was enjoying the moment in the dressing room after the game, passing around the trophy," admitted Warburton.
"Ryan Jones was bragging it was his third Triple Crown, but for a lot of the younger players like me it was our first taste of a trophy with Wales. It is a great feeling, especially as England threw everything at us.
"At times we played poorly and before the game we were all pretty nervous. It was a game we were really looking forward to and it really had an edge.
"They really pushed us and those last two minutes were a nightmare. Looking at the video replays when it went to the TMO in the end I thought the try was going to be given. They would still have had to have kicked the two points, but I thought it was going to be a bit of an anti-climax and end in a draw."
The Welsh skipper revealed he had done no contact work in the build up to the game after getting injured in the first-half of the opening round victory in Ireland. He also refused to "jinx myself" by talking about the possibility of making it a third Grand Slam in eight years for Wales.
"We don't dare say those two words. They'll probably be ordering an open top bus for us in Cardiff, but we know there are two difficult games ahead of us. We now have two weeks to recover and hopefully have a fully fit squad to face Italy," added the Wales skipper.
Meanwhile, England skipper Chris Robshaw has vowed his team will become stronger and better as a result of their agonising home defeat to Wales.
Robshaw's men went into the game at Twickenham as massive underdogs, yet upset the odds to lead 12-6 at the start of the second half. Wales then levelled matters moving into the final 10 minutes before striking for glory in the 75th minute with Scott Williams' breakaway try.
But England hit back with the final play of the game and sent wing Dave Strettle flying for the right hand corner. He reached the line, and claimed to have put the ball down, but had his score ruled out by the TMO.
"We will be a better side for this experience in two weeks time in France. We know we what we will be judged on, and that's the result and losing the game, but we really tested Wales and put their backs against the wall," said Robshaw.
"I don't think this defeat will be a knock to our confidence. People had written us off, and claimed we wouldn't be fit enough to live with Wales in the final 10 minutes, but we went toe to toe with them.
"We are a team that has only been together a few weeks and, even though we made a few ill-disciplined decisions in the second half, I was very proud of the performance. We stood up to them and played with a lot of variety.
"You never like to lose at Twickenham, but it is about us moving forward from here. We've won two and lost one now and I feel we are playing a lot better now than we did in the first game.
"Now it is all about backing up this performance in France in two weeks time and delivering on another big stage. Our leadership group needs to take this team on and we all know that playing in France will be another step up, certainly in their own back yard.
"But they have to play three weeks in a row and that won't be easy for them. We just need to make sure we are fit and fresh for what is going to be another huge test."