Tanzim admitted to the offence and accepted the sanction proposed by the match referee.
The incident happened in the third over of the Nepal chase when Tanzim had a verbal battle with Nepal skipper Rohit Paudel in the middle of a spirited spell.
Tanzim delivered a match-winning spell in that game, returning with the figures of 4/7 to script Bangladesh’s 21-run victory.
The fast bowler was found to have breached Article 2.12 of the ICC Code of Conduct for Players and Player Support Personnel, which relates to “inappropriate physical contact with a Player, Player Support Personnel, Umpire, Match Referee or any other person (including a spectator during an International Match".
The charges were levelled by on-field umpires Ahsan Raza and Sam Nogajski, along with third umpire Jayaraman Madanagopal and fourth umpire Kumar Dharmasena.
Tanzim admitted to the offence and accepted the sanction proposed by Richie Richardson of the Emirates ICC Elite Panel of Match Referees, and there was no need for a formal hearing.
Bangladesh's win over Nepal ensured their progression to the Super 8 stage. They will face Australia in their next match at Antigua on Thursday (June 20).