Shamir was Israel's seventh prime minister, serving for seven years, from 1983-84 and 1986-92. He died Saturday at age 96.
His terms were marked by his refusal to consider giving up land for deals with the Palestinians, as well as Israel's restraint in the face of missile attacks from Iraq in the 1991 Gulf war.
He was buried Monday at the Mount Herzl cemetery in Jerusalem. He was eulogized by Prime Minister Benjamin Netanyahu, President Shimon Peres and his son Yair.
Born in Poland, Shamir was an underground militia leader before Israel was created, fighting Arabs and British forces.
Later he served in the Mossad as an intelligence agent who hunted Nazis, before entering politics.