The Gershovich family were killed after an Iranian missile slammed into their building Sunday evening, with rescue teams searching overnight through the rubble to find their bodies.

Rescuers on Monday recovered the bodies of Vladimir Gershovich, 73, his wife Lena, 68, as well as their son Dmitry, 42, and his wife, 29-year-old Lucille-Jane, who was originally from the Philippines.

At the cemetery in Haifa on Tuesday, tearful mourners surrounded the coffins of Vladimir, Lena and Dmitry Gershovich, draped in Israeli flags.

Lucille-Jane Gershovich's body was to be repatriated to the Philippines, according to the Philippine foreign affairs department.

One of Dmitry Gershovich's colleagues spoke of a "beloved family" that had emigrated from Ukraine in the 1990s, and how Dmitry had joined an elite unit of the Israeli military.

His mother Lena, a voice coach, was a well-known figure in the Israeli arts world and taught at the Nissan Nativ acting studio in Jerusalem.

One of her pupils described her as "a person of love and giving and persistence".

Israeli lawmaker Zeev Elkin, a member of Prime Minister Benjamin Netanyahu's right-wing Likud party, attended the funeral.

There, he took responsibility on behalf of the government for the decision to go to war against Iran.

"We are here, in a war of no choice, which has very heavy prices. And today we are ordered to pay one of the heaviest prices yet in this campaign, of an entire family going," he said.

The Middle East was plunged into a spiralling war after the US and Israel launched joint strikes on Iran on February 28, sparking retaliatory attacks across the region.