* Ministers urge election be brought forward
* Far-right cabinet member demands defence brief
* Netanyahu's Likud party down in latest poll
By Maayan Lubell
JERUSALEM, Nov 15 (Reuters) - Israeli Prime Minister Benjamin Netanyahu faced calls on Thursday from his coalition partners to hold an early election, a day after the defence minister's resignation left the government with a razor-thin majority.
Avigdor Lieberman quit on Wednesday over what he described as the government's too-soft policy on cross-border violence with Palestinian militants in the Gaza Strip.
The loss of the five seats of Lieberman's Israel Beitenu faction leaves Netanyahu with control of just 61 of the 120 seats in parliament, raising the prospect that a scheduled November 2019 election would be brought forward.
Lieberman's resignation takes effect 48 hours after being handed in, which he did early on Thursday. Each coalition partner will then have the power to bring down the government.
To avert a crisis, Netanyahu has been holding talks with ministers in an effort to stabilize the government.
Israel's Finance Minister Moshe Kahlon, who heads the centrist Kulanu party, said he told Netanyahu in their meeting that the responsible step to take would be to establish a new and stable government.
"The best thing for Israel's citizens and economy is to hold an election as soon as possible," Kahlon said in a statement. His call was echoed by Interior Minister Aryeh Deri who heads the ultra-Orthodox Shas faction.
Adding to the pressure, Israel's Education Minister Naftali Bennett, who heads the far-right Jewish Home party, has demanded the defence brief by given to him.
Both Lieberman and Bennett, who compete with Netanyahu's Likud for right-wing voters, have spoken in favour of harsh Israeli military action against Gaza's dominant Hamas Islamists.
Israel has fought three wars in Gaza since Hamas took over the enclave in 2007.
"I asked the prime minister yesterday to appoint me defence minister to fulfil one goal only - that Israel start winning again," Bennett said at a conference near Tel Aviv.
Jewish Home said on Wednesday that without the defence brief, there would be no point in keeping the government together.
However Bennett did not repeat this in his remarks on Thursday nor did he render an explicit ultimatum to Netanyahu, with whom he is due to meet on Friday.
It was unclear whether Netanyahu would opt for an early election.
Netanyahu is under investigation for corruption, and speculation has been rife that he may bring the ballot forward in order to win a renewed mandate before Israel's attorney-general decides whether to indict him.
A poll published on Wednesday by Israel's Hadashot television news showed Likud falling by one seat from 30 to 29 after months of surveys that have shown it gaining power. Only 17 percent of respondents were happy with Netanyahu's Gaza policy. (Reporting by Maayan Lubell, Editing by William Maclean)
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