The 26-year-old had lost in two previous French Open finals – to Maria Sharapova in 2014 and Jelena Ostapenko in 2017 – and against Caroline Wozniacki in this year’s Australian Open showpiece.
Simona Halep, went a set and a break down at Roland Garros.
However, the Romanian battled back to take a see-saw second set against the US Open champion.
Simona Halep then raced away with the third to win 3-6 6-4 6-1.
She said in the build-up to this match that she felt relaxed and would not be fazed by the pressure of winning her first Slam.
After the match, Simona Halep said: “I did everything I could. It is amazing what is happening now.
“I have been dreaming for this moment since I started playing tennis.”
Simona Halep clinched victory with her first match point, Stephens unable to return a powerful first serve.
The top seed dropped her racquet in celebration, covering her face with both hands before Sloane Stephens walked around the net to warmly hug the champion.
Given a standing ovation by the Court Philippe Chatrier crowd, a tearful Simona Halep climbed into the stand behind the baseline to celebrate with her family and coaching team.
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