There were 4,056 deaths due to COVID-19 reported on Tuesday in the U.S., according to The COVID Tracking Project.

That marks the second time new deaths surpassed 4,000, based on the tracker's tally, following the record 4,081 reported less than a week ago on Jan. 7.

The seven-day average number of deaths reported Tuesday also set a new record, the tracker said.

There were 213,885 new cases and 131,326 people are currently hospitalized due to the virus in the U.S.

Deaths from COVID-19 in the United Kingdom have jumped, as the country battles a new, more contagious variant of the novel coronavirus.

The U.K. reported 6,298 new COVID-19 deaths in the week ending Jan. 10, up from 4,165 the previous week, according to the World Health Organization's latest epidemiological report. There were 9.3 new deaths per 100,000 residents -- a 51% increase over the previous week, according to the WHO.

Elsewhere, the African region reported the highest percentage increases over any other region in cases and deaths during that time frame. There were over 174,000 new cases and over 4,300 new deaths, according to the report.

COVID-19 cases are on the decline in India, the second-most populous nation in the world. There were just over 126,000 new cases reported -- a 7% decrease in infections per 100,000 residents over the previous week, according to the report.

ABC News' Christine Theodorou contributed to this report.

Beginning Jan. 26, those flying to the U.S. from foreign countries must follow new rules that were announced by the Centers for Disease Control and Prevention on Tuesday.

Passengers must take a COVID-19 test “within the 3 days before their flight to the U.S. departs, and provide written documentation of their laboratory test result (paper or electronic copy) to the airline or provide documentation of having recovered from COVID-19,” the CDC said.

“Airlines must confirm the negative test result for all passengers or documentation of recovery before they board,” the CDC said. “If a passenger does not provide documentation of a negative test or recovery, or chooses not to take a test, the airline must deny boarding to the passenger.”

The CDC also asks travelers “to get tested again 3-5 days after arrival and stay home for 7 days post-travel.”

ABC News’ Anne Flaherty contributed to this report.

Democrats are moving forward Tuesday night with plans to implement a mask requirement on the House floor.

As part of their first vote series, they will adopt language implementing a fine system for noncompliance with Speaker Nancy Pelosi's mask requirement, according to a senior House Democratic aide.

Members will be fined $500 for their first offense and $2,500 for their second offense. Fines will be deducted from members' pay.

Separately, a House administrative body will review whether to add a new fine system for non-compliance in the House office buildings on the south side of the U.S. Capitol complex.

Three House Democrats have tested positive for COVID-19 since the Capitol siege.

ABC News’ Ben Siegel contributed to this report.

Prince William championed the effort of the NHS, the U.K.'s health agency, in delivering the COVID-19 vaccine in a video posted to Kensington Royal's Twitter account Saturday night.

The video included several health care professionals on a Zoom call, along with the Duke of Cambridge, talking about distributing and delivering the vaccine.

"This is because we have a world-leading NHS, this is because we have the right people, the right research and development here," William says in the video.

William also encourages people to get the vaccine when they are eligible, noting his "grandparents" -- Queen Elizabeth and Prince Philip -- got the vaccine already. The palace said last week that Elizabeth, 94, and Philip, 99, had gotten the vaccine.

"My grandparents have had the vaccine and I'm very proud of them for doing that," he says in the video. "So it's really important that everyone gets their vaccine."