The Democrat Kamala Harris has 48.7 percent and the Republican Donald Trump 48.6 percent of Americans' support, according to the political website Real Clear Politics' compilation of current measurements early on Tuesday morning Swedish time.
The USA's complicated electoral system means, however, that the election is decided in a few so-called swing states. There, Trump still appears to have a small lead in the measurements, but the differences are so small that many analysts dare not draw conclusions.
In important Pennsylvania, Trump has a lead of just 0.4 percentage points, according to RPC.
In Arizona and Georgia, Trump leads according to the measurements with 2.8 and 1.3 percentage points, respectively. Trump also appears to be leading in North Carolina and Nevada with 1.2 and 0.6 percentage points, respectively.
Harris, meanwhile, appears to have a very narrow lead in two of the seven most important swing states. In Wisconsin and Michigan, the Vice President leads with 0.4 and 0.5 percentage points, respectively.
Even though it looks even, the election may be decided with a clearer majority, since the winner in each swing state takes home the entire state's electoral votes. The one who wins Pennsylvania, for example, gets the state's entire 19 electoral votes.
To take a place in the White House, at least 270 electoral votes are required.