The Government will consider making online trolling a criminal offence, Justice Secretary David Gauke has said.
The comments come after TV personality Katie Price gave evidence to a Commons committee on the issue after launching a campaign for tougher penalties for social media abuse.
Asked about Ms Price's campaign, Mr Gauke told ITV's Peston On Sunday: "I think we have to consider that. I mean what we see is some appalling behaviour on social media."
Ms Price told the Commons Petitions Committee last week that a line should be drawn between "banter" and criminal abuse but the law had failed to keep up with the changing use of technology.
Her 15-year-old son Harvey - who is partially blind, autistic and has Prader-Willi syndrome - was targeted on Twitter last year by an unnamed 19-year-old who received a caution from Sussex Police.
But Ms Price told MPs that police had been powerless to act in other cases.
The TV personality also wants to see the creation of a register of offenders.