Following Democrat Joe Biden's victory, Trump has sought to discredit the integrity of the election and argued without evidence that the results will be overturned.
Republican lawmakers have said the President should be allowed to launch legal challenges, though many of those lawsuits have already been turned away by judges and those that remain do not include evidence of problems that would change the outcome of the race.
In Wisconsin, a battleground state where Biden narrowly edged Trump, top election official Meagan Wolfe said there were no problems with the election reported to her office and no complaints filed alleging any irregularities.
Michigan Attorney-General Dana Nessel, a Democrat, said the same was true in her state, which Biden also won.
"Let me be clear — the November elections in Michigan ran as smoothly as ever," Nessel said, adding that there were no "instances of irregularities in the process of counting the votes, only evidence-free allegations, wild speculation, and conspiracy theories."
Ahead of election day, the pandemic upended longstanding voting plans and forced election officials to make systemic changes largely on the fly. They did so with limited federal money to cover increased costs for mail ballots, which take more staff and money to send, process and count.
After problems erupted during spring primaries, the nation worried whether election officials could pull off a problem-free presidential election during a pandemic while confronting the threat of foreign interference from sophisticated adversaries led by Russia.
"In the spring, there were just so many challenges we were facing, and we were just wondering how we were going to manage to do it," said Larry Norden, an elections expert with the Brennan Centre for Justice. "It's an incredible story."
Long before a single ballot was cast, Trump raised questions about the integrity of the election and railed against mail voting despite a long history of mail ballots being used successfully in this country. At one point, he claimed the only way he could lose was if the election were rigged.
Some states that expanded mail-in voting to make it safer to cast a ballot during the virus outbreak lean Republican and voted for Trump — Nebraska, North Dakota and Montana. He has raised no concerns about the results there.
On Tuesday, Attorney-General William Barr authorised federal prosecutors across the US to probe "substantial allegations" of voting irregularities.
The groundless claims pushed by Trump and his allies about voting and ballot counting have only intensified since AP and other news organisations called the race on Sunday for Biden, who leads in both the popular vote and in the Electoral College.
Among the many lawsuits filed since election day is one in Nevada by the Trump campaign alleging voter fraud. Without explanation, Trump tweeted that the state is "turning out to be a cesspool of Fake Votes."
Such claims have put pressure on Republican election officials fielding scores of reports of fraud that so far have turned out to be human error or limited in scope.
Nevada Secretary of State Barbara Cegavske, a Republican, said her office wouldn't quantify how many complaints it had received, adding, "Many voter fraud complaints lack any evidence and are more complaints about process or policy."
In Iowa, Secretary of State Paul Pate, a Republican, ordered all counties in the state to double-check results after a data entry error was discovered in one precinct.
"These human errors are unfortunate and frustrating, but the system is working," he said.
On Tuesday, Georgia's two US senators, both Trump supporters facing close runoff elections that could determine which party controls the Senate next year, called on the state's top election official, a fellow Republican, to resign over unspecified claims of election mismanagement.
The official, Secretary of State Brad Raffensperger, said he would not step down and assured the public there had been no widespread problems.
"Was there illegal voting? I'm sure there was, and my office is investigating all of it," Raffensperger said. "Does it rise to the numbers or margin necessary to change the outcome to where President Trump is given Georgia's electoral votes? That is unlikely."
Studies have repeatedly shown that voter fraud is exceptionally rare.
Much of Trump's ire has focused on Pennsylvania, where the campaign has launched multiple lawsuits despite no indications of fraud or large-scale problems.
"On election day, we didn't have any reports of anything significant," said Lisa Schaefer, who leads the bipartisan County Commissioners Association of Pennsylvania. "We have every reason to have confidence in the result of this election, as we do every other election."
Some incidents did get attention: In some Ohio and Texas counties, electronic poll books used to check in voters were sidelined when polls opened because they were still downloading a database update.
That forced officials to turn to paper backups or extend voting hours on election day. Some Georgia counties also grappled with poll book issues and with ballot-processing difficulties in a new statewide voting system.
That said, the errors seemed to have occurred at lower rates than in most elections, University of Iowa computer scientist Doug Jones said.
"The practical consequence of Trump's call to vigilance to prevent fraud was increased scrutiny from both sides, and this increased scrutiny seems to have worked," Jones said.
"Election officials have been more careful, and election procedures have been followed more scrupulously than usual."
The federal agency charged with leading efforts to secure US elections has said there were no significant problems aside from small, ordinary glitches.
- AP
