Sportal.co.nz 11.Nov.2013Getty Images
With the All Blacks next on the Twickenham menu, the man in charge of the last side to beat New Zealand, Lancaster said England would give the All Blacks the respect they deserved but it was important England had their own self-belief.
"I know the players are delighted to have got two from two, that's nine out of our last 10 internationals we've won, so we've got an inner confidence building, but we recognise the challenge that's coming our way," he said.
There was some disappointment in the English second half in the Argentine match, where the second half score was only 7-6 to England.
But that was down to the inexperience of the side, he said.
"When you've got a young side and you are building and playing a pretty experienced side, who've been through a Rugby Championship together, and were pushing Australia, South Africa and New Zealand close, you know they are going to have moments in the game.
"The second half, they probably got more moments that we would have wanted but I thought our defence was excellent. If you offered us 31-12, we'd have taken it," he said.
Meanwhile, All Blacks coach Steve Hansen said New Zealand would be fresher than when they lost to England last year.
The All Blacks made changes midway through the Rugby Championship to make that possible.
"That change was to have more time at home. It left us in a lot better physical and mental shape. And we're hoping we don't get a virus again.
"There's a real edge going back to Twickenham. They're [England] going well. We're going okay. Both teams are looking forward to playing there.
"I hear that already they're talking about scoring four tries and going to No.2 in the world, so obviously they've got a lot of confidence," he said.