What kind of hospital is griffin health? About Griffin Health. Griffin Hospital is a 160-bed acute care community hospital serving more than 130,000 residents of the Lower Naugatuck Valley Region.What is the phone number for gracegriffin hospital? Griffin Hospital Main Number: (203) 735-7421 Toll-free in CT : (800) 354-3094 Appointments / Central Scheduling : (203) 732-7101How do i get to griffin hospital by bus? A Connecticut Transit bus stop is located next to the hospital. Call * Griffin Hospital at (203) 735-7421 or (800) 354-3094.What is griffin faculty physicians? Welcome to Griffin Faculty Physicians, a multi-specialty medical group affiliated with Griffin Hospital. Browse our office locations and take a minute to learn about our physicians. By signing in to our secure patient portal you can request an appointment, contact your physician and manage your information.