Health officials said new infections are likely a result of more people moving about and resuming some business and pleasure activities as all 50 states reopen.
A Reuters tally showed 2,003,038 people were infected in the US as of Wednesday night, with new infections rising slightly after five weeks of declines.
Nationwide anti-racism protests with no social distancing after the death of African-American George Floyd at the hands of a white Minneapolis police officer on May 25 could lead to another spike in cases.
The coronavirus (COVID-19) pandemic hit American minority communities especially hard, US reports said.
Part of the increase is due to more testing, which hit a record high on June 5 of 545,690 tests in a single day but has since fallen, according to https://covidtracking.com.
Total US coronavirus-related deaths have surpassed 112,000, the most in the world.
The first US coronavirus cases were reported in the state of Washington in late January, and the nation recorded 1 million cases by April 28. So far in June, there have been an average of 21,000 new cases a day compared with an average of 30,000 a day in April and 23,000 a day in May, according to a Reuters tally.
Last month, US studies showed that thousands of lives could have been saved if the country had implemented lockdowns and social distancing measures just two weeks earlier to slow the spread of the coronavirus.
In March, President Donald Trump had resisted canceling campaign rallies or telling people to stay home or avoid crowds. The risk of the virus to most Americans was very low, he said.
The new Reuters tally cams as US health experts had warned about the possibility of a new wave of coronavirus deaths and infections as more US states began to open months before November presidential election.