At least 120 million people were expected to render judgement on whether to give Obama a second term or replace him with Romney. Their decision will set the country's course for the next four years on spending, taxes, healthcare and foreign policy challenges like the rise of China and Iran's nuclear ambitions.
National opinion polls show Obama and Romney in a virtual dead heat, although the Democratic incumbent has a slight advantage in several vital swing states - most notably Ohio - that could give him the 270 electoral votes needed to win the state-by-state contest.
Romney, the multimillionaire former head of a private equity firm, would be the first Mormon president and one of the wealthiest Americans to occupy the White House. Obama, the country's first black president, seeks to avoid being relegated to a single term, something that has happened to only one of the previous three occupants of the White House.
Whichever candidate wins, a razor-thin margin might not bode well for the clear mandate needed to help break the partisan gridlock in Washington.
Romney voted at a community center near his home in a Boston suburb, before dashing off for a pair of last-minute stops, including Ohio. "I feel great about Ohio," he said when asked about a state that is considered a must-win for him.
In a strange convergence of campaign planes that underscored the importance both sides have pinned on Ohio, Vice President Joe Biden made a surprise landing in Cleveland just minutes after Romney touched down, in what looked like an attempt to steal the Republican's thunder.
Romney stayed onboard until the Biden motorcade cleared the tarmac, which soon became even more crowded when running mate Paul Ryan's plane landed to join him on the Cleveland visit.
Settling into his hometown of Chicago, Obama made a final pitch to morning commuters in toss-up states that have been an almost obsessive focus of both campaigns, and made a surprise visit to a local field office staffed with volunteers.
"Four years ago, we had incredible turnout," Obama told a Miami radio station in a pre-recorded interview. "I know people were excited and energised about the prospect of making history, but we have to preserve the gains we've made."
He called a hip-hop music station in Tampa, Florida, in a final outreach to African-American supporters, telling listeners that voting was "central to moving our community forward."
Fuelled by record spending on negative ads, the battle between the two men was focused primarily on the lagging economic recovery and persistently high unemployment, but at times it also turned personal.
As Americans headed to voting booths, campaign teams for both candidates worked the phones feverishly to mobilise supporters to cast their ballots.
Polls will begin to close in Indiana and Kentucky at 6 pm EST (2300 GMT) on Tuesday, with voting ending across the country over the next six hours. Ohio closes at 7:30 pm EST.
The first results, by tradition, were tallied in Dixville Notch and Hart's Location, both in New Hampshire, shortly after midnight (0500 GMT). Obama and Romney each received five votes in Dixville Notch. In Hart's Location, Obama had 23 votes to nine for Romney and two for Libertarian candidate Gary Johnson.
The close race raises the prospect of a disputed outcome similar to the 2000 election, which ended with a US Supreme Court decision favouring George W. Bush over Al Gore after legal challenges to the close vote in Florida. Both the Romney and Obama campaigns have assembled legal teams to deal with possible voting problems, challenges or recounts.
The balance of power in the US Congress also will be at stake in Senate and House of Representatives races that could impact the outcome of "fiscal cliff" negotiations on spending cuts and tax increases, which kick in at the end of the year unless a deal is reached.
Obama's Democrats are now expected to narrowly hold their Senate majority, while Romney's Republicans are favoured to retain House control.
Despite uncertainty about the presidential outcome, US stocks climbed on speculation the election would produce a clear winner. World stock exchanges also rose but the election kept trading subdued. "It's a relief that hopefully the election will be over," said Fred Dickson, chief market strategist at D.A. Davidson & Co in Lake Oswego, Oregon.
Despite the weak economy, Obama appeared in September to be cruising to a relatively easy win after a strong party convention and a series of stumbles by Romney, including a secretly recorded video showing the Republican writing off 47 percent of the electorate as government-dependent victims.
But Romney rebounded in the first debate on October 3 in Denver, where his sure-footed criticism of the president and Obama's listless response started a slow rise for Romney in polls. Obama seemed to regain his footing in recent days at the head of federal relief efforts for victims of superstorm Sandy in the New York-New Jersey area.
The presidential contest is now likely to be determined by voter turnout. Weather could be a factor. Much of the nation was dry and mild, though rain was forecast later on Tuesday in the Southeast, including Florida, an important swing state.
In the closing act of the 2012 election drama, both men expressed confidence in winning. But Obama hedged slightly, saying, after the Chicago campaign office visit, that "it's going to depend ultimately on whether those votes turn out."
Like the divided electorate itself, Eoin O'Shea and his wife, Ann Marie, a South Philadelphia couple, split their vote. Both are 39 years old. He went for Obama. She supported Romney. "We still love and respect each other," he said. But some voters saw the choice in starker terms.
"It's about worrying about what is going to happen if our country is led by the wrong person," said Obama supporter Sylvia Zaal, 38, after voting in Milwaukee. Voting appeared to go smoothly in most places.
But thousands of voters in storm-struck New York and New Jersey encountered frustration, confusion and long lines as they tried to cast ballots. Election officials face unprecedented challenges because polling stations were among the thousands of buildings damaged by superstorm Sandy eight days ago.
Obama and Romney raced through seven battleground states on Monday courting the last remaining undecided voters.
Obama focused on Wisconsin, Ohio and Iowa, swing states that, barring surprises elsewhere, would ensure he reaches the 270 electoral votes needed to win. Romney visited Florida, Virginia and Ohio before finishing in New Hampshire.