Cleveland Clinic Medina Hospital Share: HospitalNon-Profit Cleveland Clinic Medina Hospital Visit Website 1000 East Washington Street Medina, OH 44256 (330) 725-1000 (330) 721-5885 (fax) Hours: 24 hours/day; 7 days a week About Map About * Medina Hospital, a 118-bed hospital, offers the latest technology and the newest procedures in a modern facility. Directions Located on Route 18/East Washington Street west of Route 71. What's Nearby? Distance: 5 10 15 20 25 50 mi.