Prime Minister Bjarni Benediktsson of the conservative Independence Party called the vote last month after a junior member of the three-party centre-right coalition quit the government over a legal scandal involving his father.
Today's election is Iceland's fourth since 2008. Polls published Friday by public broadcaster RUV and the daily Morgunbladid show that the Independence Party could get 17 seats in the 63-seat parliament, the Althingi.
The main rival Left-Green Movement and its potential partners -- the Social Democratic Alliance and the anti establishment Pirate Party -- would together win 29 seats, too short of a 32-seat outright majority.
"If these are the election results, it's a call for the opposition to form a government," Left-Green leader Katrin Jakobsdottir, 41, told Morgunbladid.
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But the Independence could also partner with their former ally the Progressives, which would win between five to six seats, the Center Party (six seats) and the liberal Reform party (five seats).
"These numbers tell me that we need a boost," Benediktsson, 47, told Morgunbladid.
Polls open at 0900 GMT and close at around 2200 GMT.
"The fear is whether there will be a possibility to form a government," Arnar Thor Jonsson, a law professor at Reykjavik University, told AFP, recalling that negotiations to form a coalition after the October 2016 election took three months.
Since the 2008 financial crisis, when Iceland's three major banks collapsed and the country teetered on the verge of bankruptcy, it has made a spectacular recovery with robust growth of 7.2 per cent in 2016 and unemployment at an enviable 2.5 per cent.
A year ago, snap elections were called after then-prime minister Sigmundur David Gunnlaugsson was pressured to resign when he was named in the so-called Panama Papers tax data leak which exposed offshore tax havens.
More than 600 Icelanders -- a surprisingly high number in a country of 335,000 -- were also named in the documents, including Benediktsson, the then finance minister.
Despite that, Benediktsson was able to build a coalition with the centrist Bright Future and centre-right Reform Party, holding a one-seat majority in parliament before becoming the shortest-lived government in Iceland's history.
Construction is booming: cranes cover the skies in Reykjavik's city centre, away from Iceland's breathtaking volcanoes and glaciers.
Independence supporters still view the party as the main force for economic stability and growth. Nearly half of the postwar prime ministers came from the eurosceptic party.
The Independence and the Progressive party ended Iceland's EU membership bid in 2015 over a mackerel war with Brussels.
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