Brown was particularly impressive in defence and under the high ball as the reigning champions ground out a 12-6 win thanks to two early tries from Jonny May.
“He’s done that for 24 Tests for us,” said the Australian in a news conference, referencing the number of wins in his 25 matches at the helm.
“He’s our full-back, he carries the high ball, he plays with courage, he plays the way we want England to play.
“You are the guys who don’t rate him; you are the guys who are always selecting someone else ahead of him. So you’ve got to work it out, not me.
“Test match rugby is about Test match players that are tough. They’ve got a certain range of skills for Test match rugby, which is different from club rugby, it’s different from European rugby.”
England survived two major scares against Wales as Gareth Anscombe saw a try controversially ruled out by the TMO and Scott Williams was forced into touch by Sam Underhill late on when the centre looked certain to score in the corner.
“I think it’s a win built around a lot of courage, a lot of belief in the team,” said Jones, who declined to comment specifically on the TMO decision that opposite number Warren Gatland labelled a “terrible mistake”.
“The execution of the gameplan by the players was absolutely outstanding, and then their application and courage and effort in defence was first-class.
“We’ll just enjoy the moment, maybe have a few beers tonight, a few red wines, enjoy the occasion and then we’ll worry about what we’ve got to work on later.”
England did lose Sam Simmonds and Anthony Watson to injuries, but both players are expected to recover ahead of the trip to Scotland in a fortnight.
“Sam’s got a bit of a joint problem in his shoulder,” explained Jones.
“Anthony has got a couple of knocks. At this stage, we’d hope they’d both be right for Scotland.”