The International Cricket Council also gave Buttler an official warning for his reaction to Mortaza and Sabbir's celebrations following his dismissal after a TV review which proved to be pivotal in Sunday night's match in Dhaka.
After England made a poor start in their reply to Bangladesh's total of 238-8, Buttler was threatening to turn the match on its head with a run-a-ball innings of 57 which was ended in controversial fashion.
The verdict triggered lively celebrations in the Bangladesh camp, with several players exchanging words with the batsman as he made his way back to the pavilion, forcing the umpires to immediately intervene.
"The Bangladesh players overstepped in their celebration of Jos Buttler's wicket, which prompted an inappropriate reaction from the dismissed batsman," match referee Javagal Srinath said in a ICC statement.
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"We all want to see high intensity on the field of play, but only as long as it is not provoking or antagonising or disrespecting the opponent."
"Emotions were running high and obviously (they were) delighted to get the wicket. Maybe I should have just walked off," Buttler told reporters.
The ongoing three-match ODI series is currently locked at 1-1 after England won the first match by 21 runs and Bangladesh levelled with a 34-run win in the second match.