Kohli completed his fifth successive score of fifty or more at the tournament, albeit it took him a relatively sedate 56 balls with just four fours.
Kohli, who started this match as the tournament's leading batsman with 711 runs, scored a record-breaking 50th one-day international hundred in unbeaten hosts India's 70-run semi-final win over New Zealand.
But there was no repeat on Sunday when he played on to fast bowler Cummins trying to cut a ball that was too close to him.
India were then 148-4 in the 29th over following a stand of 67 between Kohli and KL Rahul.
Kohli's exit silenced a crowd of around 130,000, with Cummins himself having said in a pre-match press conference there was no better feeling for an opposition player.
Tight bowling and fielding meant India went 16.1 overs between boundaries.
