But in a video statement issued after James' briefing, Cuomo, 63, made clear he had no plans to do so and denied he had acted inappropriately.
"The facts are much different than what has been portrayed," Cuomo said.
A third-term Democratic governor who has served in the post since 2011, Cuomo called the findings inaccurate and unfair. He said his accusers had misinterpreted his words, gestures and demeanor, insisting his behavior was always intended to convey warmth to the women.
The investigation marked a swift fall for a governor who became a popular national figure in the early days of the COVID-19 pandemic by presenting himself as an authoritative presence in daily news conferences.
The findings, detailed in a scathing 168-page report, could deal a devastating blow to Cuomo once seen as a possible presidential candidate and a former U.S. housing secretary under President Bill Clinton- and hinder his administration.
"What this investigation revealed was a disturbing pattern of conduct by the governor of the great state of New York," said James, also a Democrat. "These 11 women were in a hostile and toxic work environment.
Biden told reporters at the White House: "I think he should resign."
"I'm sure there are some embraces that were totally innocent. But apparently the attorney general decided there were things that weren't," Biden said.
The speaker of the Democratic-controlled New York Assembly said an impeachment investigation would conclude "as quickly as possible" after receiving evidence from James' probe.
The civil investigation found the actions of Cuomo and his senior advisers "violated multiple state and federal laws," James' office said, but she did not pursue criminal charges.
After the report was published, the district attorney for Albany County, David Soares, announced his office had opened a investigation to see if any conduct rose to the level of a crime. Albany County is home to the city of Albany, the New York state capital.
Soares also requested evidence from the probe and welcomed "any victim" to come forward.
"CLIMATE OF FEAR"
Investigators spoke to 179 people, James said. The probe revealed a "climate of fear" in which Cuomo sexually harassed multiple women, many of them young, she said.
While many of the accusations were previously known, investigators at the briefing revealed some new details based on what Cuomo's accusers told them.
Anne Clark, one of the two lawyers who ran the inquiry, said one of the women Cuomo targeted was a state trooper. The governor stood behind her in an elevator and "ran his finger from her neck down her spine and said, 'Hey you.'" The trooper, according to Clark, said Cuomo inappropriately touched her from "her chest to her privates."
Cuomo, a divorced father of three adult daughters, said he was sorry if his behavior was misunderstood by his accusers. He also said he would "not be distracted" from his work battling the COVID-19 pandemic.
"I want you to know directly from me that I never touched anyone inappropriately or made inappropriate sexual advances," Cuomo said in the video statement. "I am 63 years old. I've lived my entire adult life in public view. That is just not who I am. And that's not who I have ever been."
"RIFE WITH BULLYING"
James herself is a rising star in the Democratic Party who legally challenged the National Rifle Association in the state after catapulting from New York City public advocate to attorney general in 2018.
She named two veteran outside attorneys to run the investigation: Joon Kim, a former federal prosecutor and acting U.S. attorney in Manhattan, and Clark, an employment lawyer with experience in sexual harassment cases.
Kim said Cuomo's workplace was "rife with bullying, fear and intimidation" in which crossing him or his senior staff meant you would be "written off, cast aside or worse."
The report rejected Cuomo's suggestions that his conduct was an innocent reflection of the affectionate Italian-American culture in which he was raised. Investigators found little credibility in his "blanket denials and lack of recollection as to specific incidents."
"What these witnesses - and many others - described is not just old-fashioned, affectionate behavior - it was sexual harassment," the report concluded.
Rita Glavin, a lawyer defending Cuomo against the sexual harassment complaints, released a lengthy "position statement" responding to the report, which she said "purposefully omits key evidence." Glavin accused James of bias.
Glavin's statement included pages of photographs of Cuomo embracing or kissing prominent political figures, including Biden, Barack Obama, Hillary Clinton, Nancy Pelosi and Al Gore. It also included multiple photographs of Cuomo kissing his late father, Mario Cuomo, who also served as governor of New York.
(Reporting by Jonathan Allen in New York and Nathan Layne in Wilton, Connecticut; Additional reporting by Trevor Hunnicutt, Jan Wolfe and Maria Caspani; Writing by Daniel Trotta; Editing by Will Dunham, Jonathan Oatis, Sonya Hepinstall and Leslie Adler) ((firstname.lastname@example.org; +1 646 223 7217))