Sheffield has been one of the big surprises this season, but after the restart it has only been a cross and three straight losses.
Tottenham dominated the ball possession throughout, but it was Sheffield who would take the lead;
In the 31st minute, Sander Berge pushed the ball home. Norrmen's first in the red and white shirt and Sheffield's first in the Premier League since the 1-0 win against Norwich on 7 March.
Tottenham came alive and acknowledged the minute later, but the goal was sent off after a questionable hand on Lucas Moura.
In the second, Sheffield expanded to both 2-0 and 3-0 through Lys Mousset and Oliver McBurnie.
Harry Kane reduced in the 90's, assisted by Son Heung-min.
The win means Sheffield climbs to seventh place in the Premier League. There are five points to Manchester United, who are in the last Europa League spot.