"In his final hours, he was surrounded by his loving wife and each one of his children and their spouses, just as he always wanted," the family said.
Covey was hospitalized after being knocked unconscious in the bicycle accident on a steep road in the foothills of Provo, Utah, about 45 miles south of Salt Lake City.
At the time, his publicist, Debra Lund, said, "He just lost control on his bike and crashed … He was wearing a helmet."
Covey is co-founder of Utah-based professional services company FranklinCovey.
Catherine Sagers, Covey's daughter, told The Salt Lake Tribune in April that her father suffered some bleeding on his brain after the accident.
A telephone message left for Sagers on Monday wasn't returned.