Jonathan Hall, the government's anti-Semitism adviser, told Times Radio the move followed stabbings in Golders Green and said current marches cannot avoid anti-Semitic or demonising language.
He argued the protests incubate hostility towards Jews and violence, raising the prospect of heavy restrictions and legal debate over limits on demonstrations in Britain.
The proposal comes amid wider scrutiny in Western countries over pro-Palestinian protests, with authorities weighing public order, hate speech and free expression.
Will increasing bans on pro-Palestinian marches actually reduce antisemitism, or risk driving hate further underground?
What concrete evidence links foreign state actors like Iran and China to recent antisemitic incidents in the UK and US?
How can universities protect both Jewish students and free speech amid rising surveillance and censorship of activism?