The Three Lions continued their perfect record in Qualifying, becoming the first European side to reach the World Cup.
Tuchel, 52, was all praise after the full-time whistle, labelling his side's performance as physically dominant.
He told the FA :“It's a club feel because we play very aggressively, we play a high press. It's a very physical game that we play. It's very demanding, but it gets everyone going.
“Everyone needs to go and buy into the idea because otherwise we can't press so high, so we have a lot of ball wins.
“The guys train on a high level, and the group is a very good group. It's a pleasure to coach them. That's the result, it's step by step, and we're getting there.”
Tuchel sees the humorous side on 'creative chants'
The German was subjected to chants from the England faithful after he suggested that the atmosphere was poor against their neighbours, Wales, on Thursday.
However, the former Chelsea man found it ingenious. He told the BBC.
"I got a bit of stick in the first half, so fair enough. I take it in good humour, with a good sense of humour. I accept it.
"They had a reason from my last comments, and I guess that's fair enough.
"I found it quite creative. It made me smile, and this is how it has to be. It's British humour and I surely can take it. No harm done."
Kane is the best striker he's ever managed
Captain and talisman Harry Kane returned to great effect, scoring twice in three minutes.
Tuchel described his skipper as the best striker he has worked with, telling ITV, "He's on top of the list.”
“He is in top shape mentally and physically and full of confidence.”
Kane has now scored at least once in his last eight games for club and country.
