Ange Postecoglou's side claimed another thrilling late victory at home when Brennan Johnson's 96th winner secured the points.
Tottenham had fallen behind to Pascal Gross' first-half penalty but were able to fashion a way back into the tie on the hour before the Welshman struck.
Victory lifted the north Londoners above Aston Villa into fourth place ahead of their tough game against Manchester United on Sunday.
Spurs fans were also able to welcome back skipper Son Heung-Min, following his exploits at the Asian Cup with South Korea.
Here, Mail Sport takes a look at the players who shone and those thankful of the referee's final whistle.
Guglielmo Vicario
Made an incredible early save to deny. He could do nothing about Gross' penalty and had precious little to do after that. 7
Pedro Porro
Was his usual energic self, getting up and down the right flank. Appeared to tire as the game went on. 6
Cristian Romero
Commanding and won the ball back high up the field. He defended well at the back for most of the game. 7.5
Micky van de Ven
Not one of his finest days in a Spurs shirt. Lost possession which led to the Welbeck chance before giving away the penalty. Improved after the break. 6
Destiny Udogie
Came off in the final 10 minutes after a disciplined display. 6
Pape Matar Sarr
Showing his promise on a regular basis. He was good to start the game and only improved before scoring the equaliser. 8
Rodrigo Bentancur
Started slowly and was culpable for Brighton's opener. Lasted only an hour after a sub par afternoon. 6
James Maddison
Involved in a lot of Spurs' good moments. Set Richarlison up for a chance early on before playing a part in the late winner. 7
Dejan Kulusevski
Another who improved as the game went on. Played the ball through to Sarr in the
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