The Premier League side had a steep mountain to climb heading into the second leg of a semi-final showdown with the Dutch team after losing 1-0 at home.
Trailing 3-0 on aggregate at half time in the second leg, Spurs were looking for a miracle and found it through Lucas Moura.
Moura powered in a second-half treble to stage one of the most astonishing comebacks in European Cup history as Spurs reached their first ever final.
The Kenyan was replaced by Fernando Llorente at the start of the second half. Then after the game, Wanyama Tweeted: 'God is great'
With this triumph, Mauricio Pochettino’s men will face Liverpool in the Champions League final in Madrid on June 1.