The groundwork for the court's decision to overturn abortion rights protections was laid by the former president.
Three of Trump's appointees to the court formed the basis of the majority that threw out previous decisions in favor of abortion rights. Anthony Kennedy and Ruth Ginsburg supported abortion rights when they were on the Supreme Court.
This decision and others from the court that have been hailed by conservatives were only made possible because I delivered everything as promised, Trump said in a statement.
He said it was his honor to do so.
A leaked draft of the court's opinion was the subject of an interview with the New York Times by Trump.
The role Trump played in changing the makeup of the court is something he doesn't want to take credit for.
Presidents George W. Bush and George H.W. Bush appointed justices Samuel Alito and Clarence Thomas.
The right to an abortion was a part of the constitution for almost 50 years. Several states were expected to immediately ban the procedure following the decision.
Dozens of conservative political figures celebrated the high court's decision on social media. The vice president called for a nationwide abortion ban.
The former vice president said that they must not rest and must not relent until the sanctity of life is restored to the center of American law.