Newcastle beat Bolton to close on top four
Elsewhere, Frank Lampard became the first midfield player to chalk up 150 Premier League goals as Chelsea were held to a 1-1 draw at West London neighbours Fulham.
Fourth-placed Spurs and Newcastle, in fifth, are now level on 59 points in the race for the fourth and final Champions League qualifying berth for next season with Chelsea two points adrift in sixth position.
Leaders Manchester United (79 points) visit second from bottom Wigan Athletic on Wednesday when second-placed Manchester City (71) entertain mid-table West Bromwich Albion and Arsenal (61), in third, travel to bottom club Wolverhampton Wanderers.
Norwich had a host of penalty claims turned down but still secured a memorable victory against Spurs at White Hart Lane.
Goals from Anthony Pilkington and Elliott Bennett either side of a crafty Jermain Defoe dink in the 32nd minute lifted Norwich to 10th in the table.
"I thought Norwich bullied us a little bit. It was a difficult day for our boys at the back," Spurs manager Harry Redknapp told reporters.
"Credit to them, I think they deserved it. We were disappointing," he added, as Spurs continued a poor run that has yielded one win in eight league games.
Senegal striker Papiss Cisse scored his seventh goal in his last four league appearances as red-hot Newcastle reeled off their fifth victory in a row.
The goal of the game against Bolton came from French forward Hatem Ben Arfa who went on a stunning 70-metre run to open the scoring in the 73rd minute.
"He's got that bit of magic," said Newcastle manager Alan Pardew. "Hopefully it will persuade his manager to include him in the French squad."
The 33-year-old Lampard gave Chelsea a 45th-minute lead from the penalty spot at Craven Cottage after Ivory Coast forward Salomon Kalou was brought down in dubious circumstances in the box.
Fulham rallied in the second half as Champions League semi-finalists Chelsea wilted and keeper Petr Cech brought off a remarkable save to tip over a close-range header from American Clint Dempsey in the 82nd minute.
Cech was then beaten from the resulting right-wing corner as the unmarked Dempsey nodded the ball home to claim his 16th league goal of the season.
Chelsea's interim coach Roberto Di Matteo, who has been on the losing side just once in his 11 matches in charge, praised Lampard for reaching his goal landmark.
"It shows what a tremendous player he's been for Chelsea over the years," said Di Matteo who again rang the changes in his starting line-up as the squad continued their hectic schedule in the Premier League, Champions League and FA Cup.
"I thought we were mainly in control of this game but maybe we didn't pose enough threat for a second goal. We're hanging in there and getting closer to the teams ahead of us though."