The All-Party Parliamentary Inquiry into anti-Semitism wants prosecutors to examine if prevention orders like those used to restrict sex offenders’ internet access could be used.
The cross-party group also highlighted the use of anti-Semitic terms online.
Last week, a Community Security Trust report said UK anti-Semitic incidents more than doubled to 1,168 in 2014.
The trust – which monitors anti-Semitism in Britain – says this was its highest figure recorded since it began work in 1984.
The Parliamentary inquiry was set up following a rise in incidents in July and August last year during fighting between Gaza and Israel.
The MPs said social media platforms had “increasingly been used for the spread of anti-Semitism.”
Their report said the terms “Hitler” and “Holocaust” were among the top 35 phrases relating to Jews during the conflict.
The hashtags “Hitler” and “genocide” featured with “high frequency”, it added. The “Hitler Was Right” hashtag trended worldwide in July 2014.