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Israel's Prime Minister Binyamin Netanyahu sought to form a rightwing governing coalition on Thursday after securing victory in a high-stakes Israeli election despite a strong challenge from a centrist alliance.

The results from Tuesday's vote came despite corruption allegations against the 69-year-old premier and kept him on course to become Israel's longest-serving prime minister later this year.

His close ally President Donald Trump, who has swung US policy sharply in Israel's favour and openly backed Netanyahu, said the incumbent's victory for a fifth mandate gives the White House's long-awaited peace plan a "better chance".

Netanyahu's rightwing Likud party looked set to finish with a similar number of seats in parliament to his main rival, ex-military chief Benny Gantz's centrist Blue and White alliance.

But the results showed that Likud together with other rightwing parties allied to the prime minister would hold around 65 seats in the 120-seat parliament.

Gantz conceded defeat on Wednesday night, and final official results were expected to be announced by Friday.

The results leave President Reuven Rivlin, who must ask one of the candidates to form a government, with little choice but to pick Netanyahu.

Intensive coalition negotiations could drag on for days or even weeks.

Rivlin said he would begin consultations with party heads next week ahead of making his decision.

His office said the consultations would be broadcast live in their entirety for the first time.

Netanyahu spoke in the early hours of Wednesday at the Likud's post-election party in Tel Aviv and called it a "magnificent victory."

As he walked onto the stage to chanting crowds, he planted a kiss on the lips of his wife Sara.

"It will be a rightwing government, but I will be prime minister for all," he said.

The US president -- who earlier tweeted a picture of people waving Trump flags at what he said was a Netanyahu victory celebration -- said he telephoned Netanyahu to offer congratulations.

Other Netanyahu allies including Indian Prime Minister Narendra Modi, Italy's Deputy Prime Minister Matteo Salvini and Austrian Chancellor Sebastian Kurz also offered congratulations.

The election was in many ways a referendum on the premier who has built a reputation as guarantor of the country's security and economic growth, but whose populism and alleged corruption left many ready for change.

He engaged in populist rhetoric that critics said amounted to the demonisation of Arab Israelis and others.

True to form, Netanyahu issued a controversial pledge only three days before the election, saying he planned to annex Jewish settlements in the occupied West Bank should he win.

Extending Israeli sovereignty on a large scale in the West Bank could end already fading hopes for a two-state solution with the Palestinians.

It is a move long championed by Israel's far right.

Netanyahu, nicknamed King Bibi in Israel, has been premier for a total of more than 13 years.

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