"It is our sad duty to report that our son, Otto Warmbier, has completed his journey home," his family said in a statement. "Surrounded by his loving family, Otto died today at 2:20 p.m."
Doctors from the University of Cincinnati Medical Center said last week that Warmbier, 22, was suffering from injuries related to cardiopulmonary arrest and was in a state of unresponsive wakefulness. Scans showed extensive loss in all regions of his brain, doctors said.
Warmbier, a University of Virginia student, was medically evacuated from North Korea and flown to Cincinnati late last Tuesday. He was then transported to the University of Cincinnati Medical Center.
On Monday the family paid tribute to Warmbier in an emotional statement.
"It would be easy at a moment like this to focus on all that we lost — future time that won't be spent with a warm, engaging, brilliant young man whose curiosity and enthusiasm for life knew no bounds," the family said. "But we choose to focus on the time we were given to be with this remarkable person. You can tell from the outpouring of emotion from the communities that he touched — Wyoming, Ohio, and the University of Virginia to name just two — that the love for Otto went well beyond his immediate family."
The statement thanked "the wonderful professionals at the University of Cincinnati Medical Center who did everything they could for Otto."
"When Otto returned to Cincinnati late on June 13th, he was unable to speak, unable to see and unable to react to verbal commands. He looked very uncomfortable — almost anguished. Although we would never hear his voice again, within a day the countenance of his face changed — he was at peace. He was home, and we believe he could sense that," the statement continued.
Warmbier's death prompted an outpouring of support.
In a statement, Sen. Rob Portman, R-Ohio, called Warmbier a "promising young man."
"He was kind, generous and accomplished," Portman said. "He had all the talent you could ever ask for and a bright future ahead of him. His passing today is a loss for Ohio and for all of us. Jane and I are lifting up the Warmbier family in our prayers at this difficult time, and we are deeply saddened by the tragic loss of this remarkable young Ohioan."
Ohio Gov. John Kasich offered his prayers for the family in a statement posted on Twitter.
University of Virginia President Teresa A. Sullivan said Warmbier will be "missed by all those who knew and loved him ... It is with great sadness that we learned of Otto's passing this afternoon. Our thoughts and prayers continue to be with his family and friends during what has been an incredibly difficult time."
President Donald Trump condemned "the brutality of the North Korean regime" and its treatment of Warmbier.
ABC News' Rachel Katz contributed to this report.