Abu Rumaysah who was born as Siddhartha Dhar, posted the photo on Twitter this morning, proudly showcasing his pleasure that his son will grow up in the Islamic State, the Independent reported today.
He was arrested in September in the UK along with eight others on suspicion of encouraging terrorist offences. Dhar was released on bail to reappear in December but he fled.
Less than 24 hours after he was released on bail, Dhar took a bus to Paris with his pregnant wife and four young children. He travelled on to Syria before joining IS.
"He is another great addition to the Islamic State. And he's definitely not British," Dhar said about the baby.
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Dhar was well-known in the UK for frequent television appearances declaring his wish to live under the so-called Islamic State that militants are fighting to establish in Iraq and Syria.
Despite being subject to a travel ban, Dhar left London on a coach bound for Paris and travelled on to an unknown IS stronghold to live with his wife and four children.
In an interview on Channel 4 News earlier this year, Dhar said he would happily denounce his British citizenship in order to go out to Syria and live in what he called "the Islamic State", under "the Shariah".
"I hope that one day Britain gets to live under the Shariah as well," he added.
Up to 500 British citizens are believed to have travelled to Iraq and Syria to join IS' battle to establish a hardline caliphate.