"He was injured, but will make a full recovery," Trump wrote.
The forces managed to rescue the pilot by air, according to The Wall Street Journal. All forces involved are said to have left Iranian airspace and returned safely.
In the post, Trump called the operation "one of the most daring search and rescue operations in US history."
The crew member was stranded in Iran for more than a day after the US fighter jet was shot down on Good Friday. The other person on board the plane was quickly rescued.
The mission was described as high-risk. American C-130 planes and rescue helicopters flew low and slow over Iran's mountainous terrain to find the missing pilot - who served as a weapons systems officer on the Air Force's F-15E plane, reported The Washington Post.
In connection with the operation, Iranian state television broadcast a statement offering a reward for finding the downed fighter pilot. In a further segment, residents were reportedly urged to "target" any Americans they encountered.
The Iranian military reportedly urged people not to let anyone treat the pilot badly.
On Sunday morning, Iran's Revolutionary Guards announced, according to the Iranian news agency Tasnim, that they had destroyed one of the American rescue planes that took part in the operation. It is unclear whether the plane was shot down or otherwise rendered harmless.
However, the information has not yet been confirmed by an independent party.
