Stokes was found to have violated Article 2.1.1 of the ICC Code of Conduct for Players and Player Support Personnel, which relates to "conduct that is contrary to the spirit of the game".
In addition to the sanction imposed for his breach of the article, one demerit point has been added to Stokes' disciplinary record.
The incident happened during the morning session's play on Sunday when Stokes ignored the on-field umpires' repeated requests and instructions to stop by continuing to verbally engage with Bangladesh batsman Sabbir Rahman.
Stokes admitted the offence and accepted the sanction proposed by Ranjan Madugalle of the Emirates Elite Panel of ICC Match Referees making a formal hearing unnecessary.