Branson told the council that X, formerly known as Twitter, had “come up for a lot of criticism because of what it’s allowing people to do on its system.”
He said it needed to look at controlling the way in which such internet services operate, according to the Local Democracy Reporting Service, external.
Branson acknowledged the authority would not be able to police this and was also aware of the “danger” of people doing the opposite of what the authority said.
A Middlesbrough Council spokesman said it continued to keep its social media use under review.
They added: “[X] has recently been used to notify people of flu vaccine clinics, remind parents to apply for a primary school place for their child and share details of changes to bin collections over the festive period.”