Israel bombed the Gaza Strip, including Rafah, on Saturday, a day after the top UN court ordered it to halt military operations in the southern city.
The International Court of Justice (ICJ) also demanded the immediate release of all hostages still held by Palestinian militants, hours after the Israeli military announced troops had recovered the bodies of three more of the captives from northern Gaza.
The Hague-based court, whose orders are legally binding but lack direct enforcement mechanisms, also ordered Israel to keep open the Rafah crossing between Egypt and Gaza, which it closed earlier this month at the start of its assault on the city.
Israel gave no indication it was preparing to change course in Rafah, insisting that the court had got it wrong.
"Israel has not and will not carry out military operations in the Rafah area that create living conditions that could cause the destruction of the Palestinian civilian population, in whole or in part," National Security Adviser Tzachi Hanegbi said in a joint statement with Israel's foreign ministry spokesman.
Hours after the ICJ ruling, Israel carried out strikes on the Gaza Strip early Saturday while clashes between the Israeli army and the armed wing of Hamas continued.
Palestinian witnesses and AFP teams reported Israeli strikes in Rafah and the central city of Deir al-Balah.