The extremists said the attack was their direct response to a photo, circulated on Twitter, of an RAF Hellfire missile addressed to them.
Posted on Twitter by @Lee_Carter82, a member of the Grenadier Guards, the photo captured an RAF Hellfire missile covered with the message: “Love from Manchester”.
Lee said an RAF armourer wrote the impassioned message on the missile which was attached to a Reaper drone and about to go on a mission in Syria.
The missile is believed to be one of the munitions used in the ongoing battle against ISIS in Syria under Operation Shader.
According to Site intelligence monitoring group, ISIS responded and said: “This is your merchandise and tonight we’ve responded.”
Britain has been rocked by three terror attacks in just under three months, with ISIS claiming responsibility for all of them.
The terrorist network have been reportedly celebrating Saturday night’s atrocity on social media and other messaging channels.
One message read: “Crusading Brits now living in a state of terror and fear! Where is your great Kingdom now?”
It comes as NHS England revealed 36 of the 48 people taken to hospital on Saturday night, are currently being cared for in central London hospitals.
Twelve people have been arrested in connection with the atrocity after an armed raid in Barking, east London. A further raid has also taken place in East Ham.
Speaking outside Downing Street, Mrs May said that although there was no direct link between the three incidents, “terrorism breeds terrorism”.