Mauricio Pochettino will be banned from the touchline for Tottenham's games at Southampton and Liverpool and has been fined £10,000.
The FA said: 'Mauricio Pochettino has been fined £10,000 and will serve a two-match touchline ban following an Independent Regulatory Commission hearing.'
'The Tottenham Hotspur manager accepted an improper conduct charge from The FA, which resulted from his language and/or behaviour - both on the pitch and in or around the tunnel area - at the end of the game against Burnley on 23 February.'
Pochettino hoped his apology might help reduce any punishment but revealed after the 1-0 win in Dortmund that he was about to be hit with a ban.
'I am not going to talk because it easy to pay,' said the Spurs boss on Tuesday.
'You are going to see tomorrow why I am not going to talk. I am very disappointed, I don't think that is going to change but I don't care, we are going to be strong.
'If are not going to receive a help from our football people in our country only I can laugh. You are going to see tomorrow why I am not so happy with the people.'
Pochettino hit out at the Premier League fixture schedulers on the eve of the game in Germany and claimed his team were at a 'massive disadvantage' because Dortmund had 24 hours more to prepare for each leg.