Peter Crouch fired a hat-trick and Jermain Defoe - with more than a hint of handball - was also on target as Spurs thrashed Young Boys 4-0 in their play-off second leg at White Hart Lane.
The 6-3 aggregate win secured a place in the draw for the lucrative group stages for the first time since playing in the 1961/62 European Cup.
"This is a club with European tradition, under the great Bill Nicholson, I would not be in the same class as him, and never will be, but it is great for the club to be in this position now," Redknapp said.
"I will probably just go home, have a bacon sandwich and a cup of tea, that is all I want. We have got Wigan here on Saturday and it is important we continue to pick up points in the Premier League."
Redknapp dedicated the achievement to the White Hart Lane faithful, who have seen bitter rivals Arsenal gain so much success over the past decade.
"As a kid I used to come training here and watched the games with Benfica in those great days, and at that time it was amazing to see European football and the way this place was jumping," Redknapp said.
"To bring it back was great for the fans - and that is what it is all about really, the supporters, we have given them something to look forward to in the Champions League.''
The achievement capped a remarkable transformation for Spurs under Redknapp, who took over a squad struggling at the wrong end of the table when he moved from Portsmouth two years ago.
"I always felt it was possible. Tottenham were a club which had underachieved for a long time,'' Redknapp said.
"The potential was here if we could get the players, and it is not as if I have bought a new team, it was just about instilling a bit of confidence, getting them playing and maybe changing their attitude in some cases. They responded and we have ended up where we have.''
Source: PA
Source: PA