
The soloist, Gil Shaham, was about to play Bruch's violin concerto conducted by Zubin Mehta when some people in the audience began booing and shouting.
BBC Radio 3 interrupted its live broadcast twice before returning later.
The Palestine Solidarity Campaign had earlier called on people to boycott the concert and urged the BBC to cancel it.
The pro-Palestinian group claimed that the IPO showed "complicity in whitewashing Israel's persistent violations of international law and human rights".
The BBC Proms Team tweeted: "We're sorry that the concert was taken off air following hall disturbance. Glad both pieces were heard by the audience in the RAH."
It later added: "We regret that as a result of sustained audience disturbance tonight's concert was taken off BBC Radio 3."
The performance was interrupted at about 19:45 BST and coverage was cut off again an hour later after more protests.
Outside the concert hall a group of about 20 campaigners waved banners and sang songs in protest against the appearance of the Israel Philharmonic Orchestra (IPO).
There were increased security measures including bag searches and a heightened police presence.
Police said there had been no arrests but there were heated exchanges between not only supporters of both political sides but concert-goers angry at the disruption to their evening.
Unless the protesters came equipped with ear plugs, it's a safe bet this might have been staged to garner sympathy for the poor suffering-never-ends psychotic cult of isis' ra' el.