In Florida, where cases are declining, the state reported 186 deaths Tuesday, the most it has had in a single day.
North Carolina's hospitalizations are at a record high -- 1,244 -- topping the previous record of 1,228 patients July 22. Gov. Roy Cooper on Tuesday issued an order prohibiting alcohol sales after 11 p.m.
Missouri had a record number of new cases Tuesday with 1,773. Almost 45,000 people in the state have been infected during the pandemic.
The numbers come as the new nationwide case total was just 56,336, the second lowest in the past 20 days. The country's seven-day average for new cases was 65,083 Monday, the lowest figure since July 15.
According to data provided by Johns Hopkins University, cases are at least 10% higher in 22 states over the previous week.
Dr. Anthony Fauci on Tuesday warned several states including Tennessee, Ohio, Indiana and Kentucky to get a handle on rising coronavirus cases, saying the nation couldn't afford the kinds of surges seen further south and west.
Fauci's comments to ABC's "Good Morning America" echoed fellow White House coronavirus task force member Dr. Deborah Birx, who recently visited those states to warn their numbers were headed the wrong way.
Test positivity rates there have been rising, Fauci said. Tennessee on Monday saw its highest seven-day average of new daily cases, at well over 2,000.
Tennessee's average was around 750 per day a month ago, according to data from Johns Hopkins University.
"We just can't afford, yet again, another surge" like that seen in recent weeks in Florida, Texas, Arizona and California, Fauci told ABC.
Wearing masks, social distancing, closing bars where virus spread is high, and washing hands can help turn the tide, he said. He also repeated what he'd recommended in April: Reopen economies in phases, crossing each phase only after seeing cases decrease over 14 days. States largely ignored that advice.
"We would hope that (states) all now rethink at what happens when you don't adhere to that," Fauci told "Good Morning America."
Health officials are urging states to implement stricter measures after weeks of surges in new cases following reopenings that mostly began in May.
Live updates on the coronavirus pandemic
Hospital says outbreak after worker returns from hotspot
Officials at a medical facility in the Massachusetts city of Springfield have identified 13 patients and 23 employees from a non-Covid-19 care unit who have tested positive for the coronavirus.
The cases are from an outbreak stemming from an employee who traveled to a hot spot in the United States, according to Baystate Health President and CEO Mark Keroack. The person tested positive for the virus after they returned, he said.
Keroack said people without masks gathered without appropriate social distancing in break rooms.
"These simple lapses were able to happen in spite of our screening employees for fever and other symptoms before every shift, mandating