Israeli forces completed a withdrawal from the Gaza Strip on Wednesday, three days after Israel and Hamas declared separate ceasefires, a military spokesman said.
An Israeli military spokesman said its forces have now deployed outside of Gaza and are prepared for any occurences.
Israel had withdrawn most of its forces before United States President Barack Obama was inaugurated on Tuesday, in a move analysts saw as an attempt not to cloud the start of a new era in a key alliance.
Mr Obama's predecessor, George W Bush, endorsed Israel's right to defend itself against rocket fire by Gaza's ruling Hamas Islamists.
Hamas, announcing a ceasefire on Sunday hours after an Israeli-declared truce went into effect, had demanded Israeli troops leave the territory within a week.
Palestinian medical sources in Gaza say at least 1,300 Palestinians were killed, nearly a third of them children, and 5,500 injured since Israel launched its operation on 27 December.
Thirteen Israelis, including three civilians, have been killed, the Israeli army says.
UN wants borders opened
The United Nations humanitarian chief has urged Israel to fully open all crossings with Gaza to allow a free flow of goods.
John Holmes said unless Israel allowed building materials into Gaza, no reconstruction could begin there, the BBC reports.
Mr Holmes said a recent truce between Israel and Hamas militants did not include any deal on the opening of the crossings, which are tightly controlled by Israel.
The UN earlier said rebuilding Gaza after Israel's three-week offensive would cost billions of dollars.
Mr Holmes said it was "absolutely critical" that building materials - including cement and pipes - were allowed into Gaza to rebuild the Palestinian territory.
So far Israel has been allowing only basic humanitarian supplies - such as food and medicine - into Gaza.
Mr Holmes, who is expected to visit Israel on Wednesday, also stressed that he would be pushing Israel to allow international aid organisation into Gaza.
UN Secretary-General Ban Ki-moon said on Tuesday he was appalled by Israeli attacks on a UN compound in Gaza after seeing the destruction for himself. He demanded a "full investigation".
Mr Ban later visited the southern Israeli town of Sderot, which has been one of the main targets of Palestinian rocket attacks in recent years. He described the rockets as indiscriminate weapons and said the attacks by Hamas are violations of basic humanitarian law.
