Tottenham were heading to their first Premier League defeat under Ange Postecoglou as they trailed. Gustavo HamerThe goal against the run of play in the 75th minute.
But Richarlison, a second-half substitute, ended his goal drought with the equalizer in the eighth of 12 extra minutes.
He then set up Dejan Kulusevski for the winner two minutes later as Tottenham made it four wins in a row and 13 points from 15 – their best start to a season in the top flight since 1965-66.
Tottenham are second in the table, two points behind the champions Manchester City.
“All the substitutes who came in had an impact. For Richy, that was the point I was trying to make. You try to have balance in life,” Postecoglou told reporters.
“His football hasn’t been that bad and although things can happen in life, football is what he can control.”
Sheffield United, still without a league win this season, had Ollie McBurnie sent off for a second yellow card for arguing with the referee as their frustration boiled over.
Brazil Striker Richarlison has endured a difficult time of late, unable to secure a starting place at Tottenham and declaring midweek that he would seek psychological help after appearing in tears when substituted during of Brazil’s match against Bolivia.
He was one of three substitutions for Postecoglou in the 80th minute as Tottenham threw everything at the Sheffield defense.
And he scored his first Premier League goal since April when he found space in the box to head in a corner swung in by another substitute. Ivan Perišić.
Tottenham sensed their chance to snatch all three points and it was Richarlison whose pass allowed Kulusevski to fire a shot into the corner and drive the home fans crazy.
“Great finish. In terms of what we’re trying to build, there’s the football side, but it’s also about building spirit and cohesion within the club,” Postecoglou said.
It looked like Sheffield United would come away with the points after pulling off the ultimate raid.
Tottenham had 28 attempts at goal, including 16 in the second half, and 70% possession, but were stunned when Hamer put the stubborn visitors ahead with a shot that slipped off the post.
Visiting guardian Wes Foderingham made some fine saves and United were lucky at times, with Richarlison also heading towards the crossbar, but the Spurs fans were chanting the Brazilian’s name at the end.
It was despair for the visitors who scored only one point in five matches. “We had to concentrate the whole game, it was a matter of fatigue, the pressure they put on us,” manager Paul Heckingbottom said.
“Two mistakes and we are beaten 2-1. Losing a match like this is really cruel. But it doesn’t change our performance.”