Baghdadi came to prominence in 2014, when he announced the creation of a “caliphate” in areas of Iraq and Syria.
IS carried out multiple atrocities that resulted in thousands of deaths.
The jihadist group imposed a brutal rule in the areas under its control and was behind many attacks around the world. Although the US declared the “caliphate” defeated earlier this year, IS militants remain active in the region and elsewhere.
Baghdadi’s death is a major victory for Mr Trump as he faces heavy criticism for his decision to pull US troops out of northern Syria and fights an impeachment inquiry launched by Democrats.
In an unusual Sunday morning statement, Mr Trump described the night-time operation in extraordinary detail, saying Baghdadi ran into a dead-end tunnel, “whimpering and crying and screaming”, while being chased by military dogs.
Baghdadi killed himself and three of his children by igniting his suicide vest, Mr Trump said, causing the tunnel to collapse. No US personnel were killed but one of the dogs was seriously injured in the explosion.