"The Islamic court in Wilayet al-Furat decided that a man who has practised sodomy must be thrown off the highest point in the city, and then stoned to death," read a statement accompanying the images.
Wilayet al-Furat refers to an area stretching across the Syrian-Iraqi frontier, where the Euphrates flows from Syria into Iraq at the Albu Kamal-Qaim border crossing.
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One image shows a man whom the jihadists claimed was gay being hurled off a building at an unspecified location in Syria or Iraq. The next shows the man lying on the ground.
The Islamic State in November stoned two men to death in Syria, claiming they were gay.
The group first emerged in Syria's conflict in spring 2013. It has since taken over swathes of Syria and Iraq, imposing a rule of terror.