Mark Regev said the meeting, which lasted several hours, involved Prime Minister Ehud Olmert, Defense Minister Ehud Barak, Foreign Minister Tzipi Livni, chief of staff Gaby Ashkenazi and Israeli intelligence chiefs.
He said the Israeli government had decided to back Egypt's attempts to broker a ceasefire in the Gaza Strip between Israel and the Islamic Hamas movement, which controls the enclave.
Prospects for a ceasefire between the two sides come as a nine-year-old girl died after being struck by Israeli tank fire and a Hamas militant was shot dead during an Israeli military operation in the Gaza Strip earlier on Wednesday.
Militants fired more than 20 shells into Israel on Tuesday, and at least three Hamas fighters were killed and around six injured in an Israeli missile strike on eastern Gaza.
Israel has put restrictions on fuel supplies and deliveries of other essential goods to Gaza as part of its attempt to pressure Hamas to stop rocket attacks on Israeli border towns. The radical Islamic group seized control of the enclave from the pro-Palestinian presidential Fatah movement 12 months ago.
