"This attack confirms our will to retaliate against the Zionist enemy's crimes against our people," the statement said.
The movement's armed wing, al-Quds Brigades, said the rockets landed in the Israeli border town of Sderot.
The Israeli Defense Force confirmed the attack, but said at least 14 rockets and mortar shells had been fired into the south of the country, causing no injuries or damage.
The attack came despite Egypt's attempts to broker a ceasefire in the Gaza Strip between Israel and the Islamic Hamas movement, which controls the enclave.
The Palestinian government, which controls only the West Bank, appealed to the U.S. on Monday to intervene to stop Israel from attacking the Gaza Strip in response to rocket attacks.
"We have approached the U.S. administration with an official request to prevent an Israeli military attack on the Gaza Strip," The Jerusalem Post quoted a senior Palestinian Authority official as saying.
"We fear that [Prime Minister Ehud] Olmert will order an attack on the Gaza Strip to divert attention from the latest corruption scandal."
