Around 100 worshippers, mostly supporters of Prabowo dressed in white, gathered at a central Jakarta mosque for prayers at dawn before casting their votes when polls open at 7 am local time (0000 GMT).
Indonesians began voting in the world's biggest single-day election on Wednesday as polling stations opened in the east of the sprawling equatorial archipelago following a six-month campaign to choose a new president and parliament.
Jokowi, as Widodo is popularly called, vowed during the campaign to create 100 million jobs and alleviate poverty in the world's biggest Muslim majority nation.
The so-called "quick counts" from reputable survey organisations use a sample of polling stations and have been reliable in past elections. "We've all seen exit poll and quick count numbers, but we still need to wait for the official results", Mr. Widodo told cheering supporters in Jakarta. In some areas of West Papua ballot papers did not reach remote areas in time, with the vote in several subdistricts postponed until Thursday.
His campaign team has alleged massive voter list irregularities, but analysts say the claims are absurd and created to undermine the election. The Election Commission estimates more than 17 million people are involved in ensuring the elections run smoothly, including volunteers, guards and registered witnesses for every polling station.
Tens of millions of Indonesians cast votes in the presidential and legislative elections after a campaign that pitted the steady progress of Mr Widodo's government against Mr Subianto's fear-based rhetoric that predicted the country would fall apart without his strongman leadership.
"I promised that we will work for the good of the country", he said.
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Al Jazeera's Wayne Hay reports from Jakarta.
Asked if he was feeling optimistic about the results of Wednesday's vote, Mr Widodo said: "Always".
But Widodo, a political outsider with an everyman personality when he swept to victory in 2014, has seen his rights record criticised owing to an uptick in discriminatory attacks on religious and other minorities, including a small LGBT community, as Islamic hardliners become more vocal in public life.
Widodo has campaigned on his ambitious drive to build much-needed roads, airports and other infrastructure across Southeast Asia's largest economy.
The eight-hour vote on Wednesday for both the presidency and legislature seats across a country that stretches more than 5,000 km (3,000 miles) from its western to eastern tips was both a Herculean logistical feat and testimony to the resilience of democracy two decades after authoritarianism was defeated.
The victor may be known by late on Wednesday, though official results will not come until May. Any disputes can be taken to the Constitutional Court where a nine-judge panel will have 14 days to rule on them.
But despite being the world's most populous Muslim nation, the third-largest democracy and a member of the Group of 20 major economies, Indonesia has a low profile on the world stage.
With around 50 percent of the votes already in, Jokowi and his running mate Ma'ruf Amin are leading by 55 percent to rivals Prabowo Subianto and Sandiaga Uno's 45 percent.