Yahyah Farroukh has been named as the 21-year-old man arrested on Saturday by police investigating the attack at Parsons Green subway station in west London, local television reported early Monday.
Farroukh is listed as living at an address in Stanwell, Surrey, which was searched by police officers on Sunday, according to the report.
His first pictures were published by the British media since he was arrested at a fried chicken shop in Hounslow on Saturday night.
Another 18-year-old was detained at Dover ferry port on Saturday morning following an explosion on a packed rush-hour carriage at Parsons Green subway station, which took place on Friday morning and injured 30 people.
The attack was caused by an improvised explosive device, which had a timer but failed to fully detonate.
The Islamic State claimed responsibility for the fifth attack in the country over the past six months.
Previous attacks in London this year at Westminster Bridge, London Bridge and Finsbury Park as well as a blast at an Ariana Grande concert in Manchester killed dozens of people and injured more than 150.