The home affairs select committee is calling on internet service providers to do more to prevent violent extremists spreading their views online.
Its report, published after a nine-month investigation into radicalisation, also warns of a growing threat to the UK from far-right terrorism.
Dr Matthew Goodwin, an expert on right wing extremists at the University of Nottingham who gave evidence to the committee, told the Today programme that there was a danger different extremist groups could end up engaging in violent clashes.
"Over the past ten years, all western governments have shifted heavily to focus [on] Al Qaeda, AQ-inspired terrorism, and we now know a lot about processes of violent radicalisation, we know a lot about AQ-affiliated groups.
"What we simply know much less about is violence and also terrorism from within the extreme right wing subculture, and also the interplay between these different forms of extremism."
Get in touch with Today via
or text us on 84844.