Women’s world number one Swiatek raced to a 6-1, 6-2 victory against French qualifier Leolia Jeanjean after just 61 minutes on Court Philippe Chatrier.
The Pole will next face fellow four-time major champion Naomi Osaka on Wednesday.
“I’m really happy to be back. Feel like I’m playing really good tennis so hoping to be here as long as possible,” said Swiatek.
The 22-year-old Pole is aiming to become the first woman to win three straight Roland Garros titles since Justine Henin in 2007, and only the second ever after Serena Williams to win the Madrid, Rome and French Opens in the same year.
Australian Open champion Jannik Sinner started his title tilt with a confident 6-3, 6-3, 6-4 win over Wimbledon quarter-finalist Christopher Eubanks.
The Italian second seed, who withdrew from the Madrid Open and missed the Rome Open with a hip injury, set up a second-round meeting with French veteran Richard Gasquet.
“The hip is good, I’m very happy,” said Sinner.
Former finalist Stefanos Tsitsipas beat Marton Fucsovics of Hungary 7-6 (9/7), 6-4, 6-1.
Women’s third seed Coco Gauff, the current US Open title-holder and who lost the 2022 French Open final to Swiatek, raced through in just 52 minutes by crushing Russian Julia Avdeeva 6-1, 6-1.
The 20-year-old goes on to face Slovenian qualifier Tamara Zidansek for a place in the last 32.
Marketa Vondrousova, also a former Roland Garros runner-up and the reigning Wimbledon champion, eased past Rebeka Masarova of Spain in straight sets.
Tunisian eighth seed Ons Jabeur booked her place in round two with a comfortable win over US wildcard Sachia Vickery.
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