The Swedish star got into trouble right at his first hole, when he hit his second shot into the water and made his first double bogey.
Åberg got his revenge with three birdies before making another double bogey on his eighth hole of the day.
Despite a total of six birdies, he finished the round at par, which leaves him in a modest position in the middle of the field.
American Michael Kim has taken an early lead at -8. This week's competition is being played at Le Golf National, the course that hosted both the 2018 Ryder Cup and the 2024 Olympics.
The first round is still ongoing.
