This is the third consecutive day that border crossings into Gaza have been closed, preventing humanitarian and commercial goods into the area.
Four rockets have been fired into Israel by Palestinian militants since an truce was agreed on June 19.
The militants say they are in revenge for Israeli violations of the truce.
An estimated 600,000 litres of industrial fuel will be allowed to pass through the Nahal Oz border terminal for Gaza's only power station, a European Union Official told the Reuters news agency. This will keep the plant running for several days.
The EU funds the deliveries of fuel to the power station.
Israeli officials confirmed the fuel delivery but said other border crossings remained closed.
'Retaliation'
On Thursday, the militant al-Aqsa Martyrs Brigades, linked to the Fatah faction of Palestinian Authority President Mahmoud Abbas, confirmed they fired a rocket, which came to ground without causing injury.
Other attacks earlier this week have been carried out by Islamic Jihad militants as retaliation they say for an Israeli raid in the West Bank, although the truce applies only to Gaza.
Gaza's Hamas rulers have called on all groups to respect the ceasefire but say they will not be Israel's "police".
Palestinian militants also accuse the Israelis army of shooting at farmers and fishermen and say Israel has been closing the cargo crossings into Gaza in violation of the ceasefire terms.
Israel says it will keep the crossings into Gaza closed while rocket attacks continue.
On Thursday Israeli and Egyptian officials were holding talks about Gaza in Cairo.
Israel, represented by envoy Ofer Dekel, wants to renew indirect talks on the release of Israeli soldier Gilad Shalit held in Gaza since the summer of 2006.
Hamas wants Israel to release hundreds of Palestinian prisoners in exchange for freeing Cpl Shalit.
However, Israel has previously rejected many of the names Hamas put forward.
BBC
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