Swiatek, playing at a Grand Slam event for the first time since linking up with Rafael Nadal’s former coach Francisco Roig, made short work of seeing off Australian teenager Emerson Jones 6-1, 6-2 in just 60 minutes.
The Pole is looking to regain the trophy she won at Roland Garros in three successive years from 2022 to 2024 before losing to Aryna Sabalenka in the semi-finals 12 months ago.
Swiatek will take on Czech Sara Bejlek for a place in the last 32 on Wednesday.
The third seed is among the favourites for the title after finding some form by reaching the Italian Open semi-finals earlier this month.
“I’m really happy with the way I played. It was a solid match from the beginning to the end. I technically knew how to play,” said Swiatek.
Rybakina also wasted little time in swatting aside Slovenian Veronika Erjavec 6-2, 6-2 on Court Philippe Chatrier.
Like Swiatek, the Kazakh was pleased to not spend too much time on court in the 32C heat.
“It’s tough conditions but I’m happy things worked, and I’m looking forward to the next match,” she said.
Rybakina, who won the Australian Open earlier this year, plays Ukraine’s Yuliia Starodubtseva next.
Elina Svitolina survived a scare against Hungary’s Anna Bondar on Court Suzanne Lenglen, fighting back from 3-1 down in a deciding set to win 3-6, 6-1, 7-6 (10/3).
The Ukrainian, who ended an eight-year wait for a fifth WTA 1000 title in Rome earlier this month, has still never lost in the French Open first round in 13 appearances.
Former runner-up Jasmine Paolini was a 7-5, 6-3 winner over Dayana Yastremska of Ukraine.
China’s Zheng Qinwen, who won Olympic gold at Roland Garros two years ago, crashed out in the first round for the first time with a 6-4, 6-0 loss to Poland’s Maja Chwalinska.
Sixth seed Amanda Anisimova, last year’s Wimbledon and US Open runner-up, beat French wildcard Tiantsoa Rakotomanga Rajaonah 6-3, 6-1. (AFP)