It happened in the match's second innings, which India later went in to win by 50 runs to edge closer to a second straight semifinal qualification in T20 World Cups.
The incident happened in the 17th over of Bangladesh's chase of 197 at the Sir Vivian Richards Stadium in North Sound, Antigua on Saturday.
Bangladesh were chasing an improbable equation of 74 runs from just 18 balls with four wickets in hand. Rishad Hossain smashed the delivery from Arshdeep Singh for a six as the ball went over the deep-mid-wicket boundary and the LED advertisement hoardings and slipped underneath a platform.
Kohli, who was stationed near the boundary ropes, jumped over the advertisement hoardings and managed to spot the ball under the platform before making a crazy attempt to get it. He snuck under it platform and successfully retrieved the ball, leaving commentators in splits.