Abu Hajar al-Britani reportedly carried out the mission in the strategic Iraqi town of Baiji and ISIL claims the Brit also destroyed a significant number of tanks and artillery equipment.
A photo was released by ISIL' media branch for the province of Salahuddin, showing Abu Hajar al-Britani in full military uniform.
Abu Hajar is the second British ISIL extremist to blow himself up in a suicide bomb mission in Baiji.
Earlier this month, it was announced that Kabir Ahmed had carried out a suicide bombing mission for ISIL - killing eight Iraqi police officers.
Known as Suleiman al-Britani, the 41-year-old was seen calmly chatting to several fighters before his death in a video released by the Al-Qaeda affiliated group, Jabhat an-Nusra.