Meyer, who also has a cyst on his brain, has suffered from severe headaches in the past, and had brain surgery in 2014.
Coach Ryan Day now serves as the offensive coordinator and quarterbacks coach, according to the school's website.
Offensive coordinator Ryan Day, the same coach who took over over for Meyer during his three-game suspension to open the season, will become the full-time coach. "And health number one".
How will Day tweak the coaching staff in the short and long term?
Meyer is leaving at the top of his career after three national championships and seven years at the Big Ten school, where he has an 82-9 record. Losing top pass rusher Nick Bosa early in the season was a blow, but in past years, Ohio State has been able to move on from injuries without missing a beat.
He said Meyer will be staying with the university in a new capacity, working with coaches and athletes, but he was not specific about the role.More news: Jose Mourinho - Manchester United need to handle pressure at home matches
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Meyer, who also won two national championships (2006 and 2008) at Florida, is in his 17th season as a head coach.
"I thought he was very good in the classroom, teaching me the offense and the system, breaking it down and making it very simplistic where I would be able to understand it and translate it to the field", Murphy said.
Let's not forget, it was just a couple of days ago when Meyer said he planned on coaching at Ohio State next season. The university cited that lapse in suspending Meyer after an investigation.
Is this it for Urban Meyer as a coach?
Meyer didn't feel Tuesday was the day to dissect his legacy but he briefly touched on it. "At each juncture, I gave Zach Smith the benefit of the doubt". "I can lie to you and say it is not important to me", he said. Day spent three games as head coach to start the season, winning all three. Meyer said his decision had to come before the early signing period opens December 19. He has never lost more than two games in any one season with the Buckeyes.
In addition to the domestic abuse scandal, Meyer "has been slowed by headaches caused by a cyst", member station WOSU reports, adding, "The chatter increased after he looked more distressed and beleaguered than usual on the sideline during the 49-20 loss to unranked Purdue on October 20". A startling blowout loss at unranked Purdue on October 20 pushed Ohio State to the fringe of the national championship chase and prompted questions about Meyer's future and he was forced to address speculation that he would step down at the end of the season. Asked if he would definitely return to Ohio State next year, he answered, "Yes". Investigators said they found Meyer protected the ex-wide receivers coach for years during allegations of domestic violence, a drug problem and poor job performance. Critics noted that his success with the Gators was marred by a series of legal issues for his players, with more than two dozen arrests. Meyer took a leave of absence after the 2009 season while at Florida after a health scare.