President Joe Biden and President-elect Donald Trump are both claiming credit for Israel and Hamas agreeing to a ceasefire deal in Gaza after the White House brought Trump's Middle East envoy into negotiations that have dragged on for months.

Under the terms of the ceasefire, Hamas has agreed to return 33 hostages within the first 16 days, and then negotiate to return the rest. Israel has agreed to a withdrawal from most of Gaza, except for a buffer area around the perimeter. As the hostages are released, Israel would also free more than 1,000 Palestinians detained in Israeli jails.

"We've reached the point today because of the pressure Israel built on Hamas backed by the United States," Biden said.

Thousands of Palestinians burst into the streets across Gaza as a ceasefire between Israel and Hamas began on Sunday, some in celebration, others to visit the graves of relatives, while many rushed back to their homes.

Thousands of Palestinians burst into the streets across Gaza as a ceasefire between Israel and Hamas began on Sunday, some in celebration, others to visit the graves of relatives, while many rushed back to see what remained of their homes.