The US state of Michigan, where the election results may be crucial for the final result, does not expect to publish results until Wednesday evening (local time).
Home Secretary Jocelyn Benson explained at a meeting in the city of Detroit that this has to do with the relatively high turnout.
In Detroit, 55 percent of voters went to the polls, about a quarter of a million people. Four years ago, the turnout in the city remained at 48 percent.
Various other districts will already come up with results in the coming hours. They can already give an idea of which direction the election campaign is heading.
In Michigan, 3.3 million people voted early. On election day, another 2 to 2.5 million people went to the polls.