The India Test skipper was found to have breached Article 2.1.5 of the Code of Conduct for Players and Player Support Personnel which relates to "showing dissent at an umpire's decision during an international match".
The India vice captain was seen getting furious at the umpire after the latter adjudged the caught behind of Pakistani batsman Khurram Manzoor as not out.
"The incident happened in the 15th over of India's innings when Kohli, after being given out leg before, displayed dissent by first showing his bat and then leaving the crease while looking back at the umpire and uttering some words that were contrary to the spirit of the game," said an ICC statement.
"On Sunday, Kohli admitted the offence and accepted the sanction proposed by Jeff Crowe of the Elite Panel of ICC Match Referees. As such, there was no need for a formal hearing."
The charge was levelled by on-field umpires Ruchira Palliyaguruge and Sharfuddoula, third umpire Enamul Haque and fourth official Anisur Rahman.
For all first offences, Level 1 breaches carry a minimum penalty of an official reprimand and a maximum penalty of 50 percent of a player's match fee.
India won the match by five wickets while chasing Pakistan's paltry total 83 runs at the Sher-e-Bangla National Cricket Stadium.
Kohli was adjudged man-of-the-match for his patient knock of 49 off 51 deliveries.
(With inputs from agencies)