The three players were found guilty of excessive appealing by Andy Pycroft of the Emirates Elite Panel of ICC Match Referees in a hearing after the conclusion of the Test in Kingstown on Monday.
They were found to have breached Level 1.5 of the code for excessive and prolonged appealing on a number of occasions during the last day of the Test.
"The effect of prolonging the appeal is just the same as appealing more than once which means pressurising the umpires," said Pycroft.
"I can understand the enthusiasm and excitement on the field as the Bangladesh players were sensing a long-awaited victory and their first in the West Indies but excessive and prolonged appealing on more than one occasion is against the spirit of the game and has no place in the game.
"Imrul is relatively new to international cricket as he is playing only his third Test match and I am willing to accept that he didn't fully appreciate the importance of adhering to the ICC Code of Conduct. But I am sure he has now learnt his lesson and will avoid repeating the same mistake again," said Mr Pycroft.
The charges were brought by on-field umpires Asoka de Silva and Tony Hill, third umpire Clyde Duncan and fourth official Goaland Greaves. Mr Pycroft reached his decision after a hearing attended by the players, the umpires and Bangladesh team manager Shafiq-ul Haque.
All Level 1 breaches carry a minimum penalty of an official reprimand and a maximum penalty of 50 per cent of a player's match fee. For Level 1 breaches of the ICC Code of Conduct the ICC Match Referee's decision is final and binding.