Lucas Moura scored a stoppage-time winner to complete his hat-trick and send Tottenham past Ajax into the Champions League Final on Wednesday.
Spurs, already trailing 1-0 from the first leg, looked down and out at half-time after skipper Matthijs de Ligt's header and a superb strike from Hakim Ziyech put Ajax 3-0 up on aggregate and in complete command of the tie.
But 24 hours after Liverpool's miracle comeback to beat Barcelona 4-3 on aggregate, Tottenham produced their own heroics to reach their first European Cup final.
The celebratory mood in the jam-packed Johan Cruyff Arena turned to one of nailbiting tension after Brazilian Lucas scored twice in four minutes early in the second half to put Spurs within a goal of going through.
Ziyech hit the post for Ajax who appeared to have weathered the storm but Lucas struck past Andre Onana to flatten the Ajax players and send the away fans into delirium.
Additional reporting by the Press Association.
