He was 41 years old.
"God has another angel in heaven now," Kloots posted on his official Instagram account Sunday evening. "My darling husband died this morning. He was surrounded by his loving family, singing and praying as he slowly left this land."
Kloots regularly updated her social media accounts with news of her husband's ups and downs as he battled the virus and complications, including an amputated leg. She said that Cordero had battled the disease for 95 days.
Born in Canada, Cordero grew up in Hamilton, Ontario, and eventually joined the Big Apple.
In 2014, he was nominated for a Tony Award and a Drama Desk Award for his role in "Bullets Over Broadway", a role which earned him a Theater World Award and an Outer Critics Circle Award.
Cordero is behind the role of husband, Earl, in the Broadway production of "Waitress", as well as the role of Sonny in the musical version of "A Bronx Tale" by Chazz Palminteri.
He also found success on the small screen, making appearances in episodes of "Blue Bloods", "Law & Order: Special Victims Unit" and "Lilyhammer".
Cordero and Kloots, a fitness trainer, moved to Los Angeles, where he starred in the musical "Rock of Ages" in 2019.
He met Kloots, a former Broadway dancer, while they were both performing in "Bullets over Broadway" and were married in 2017.
According to Kloots, Cordero was initially hospitalized in March at the Cedars-Sinai Medical Center in Los Angeles.
She shared on social media that Cordero had spent some time on a ventilator, suffered multiple complications from Covid-19 and had to have his leg amputated in April.
He spent weeks oblivious, even as the doctors were taking him out of sedation, and the #WakeUpNick hashtag campaign started on social media to support Cordero as he recovered.
In May, Kloots reported that her husband was awake and, although very weak, was progressing.
"Even when you close your eyes, you take it away from her," she said. "They are waiting for him to regain his strength, of course, time and recovery will help him and eventually PT will help him become stronger."
Earlier this month, she said her husband had low blood levels but was not bleeding inside.
However, on another front, the news was not good.
"However, we have learned that due to COVID, Nick's lungs are severely damaged," she said. "It looks like he smoked for 50 years, they said. They are so damaged."
Kloots recently told Gayle King, co-host of "CBS This Morning", that Cordero was so seriously ill that he might have needed a double lung transplant.
"It is very likely the possibility," she said. "A 99% chance that he would need it to live the kind of life I know my husband would want to live."
In addition to Kloots, Cordero is survived by their 1-year-old son, Elvis.
CNN's Hollie Silverman contributed to this report.
