The Indian archer scored 663 points out of a possible 720, hitting 30 10s and 13 X’s in her 72 arrows.
Deepika will now complete in the first elimination round against Bhutan's Bhu Karma. Karma, a Rio Olympian, is 193rd in the world rankings.
The Olympic record of 673 points in the qualification round was broken by the top four archers - Korea’s An San (680), Jang Minhee (677), Kang Chae Young (675) and Mexico’s Alejandra Valencia (674).