Cox Medical Center Branson Emergency Department Address 525 Branson Landing Blvd. Branson, MO 65616 location Get Directions Phone: 417-335-7218 Hours 24 hours a day, 7 days a week About At Cox Medical Center Branson, you'll find a full-service emergency department, serving Branson and surrounding areas. The Emergency Department is located on the south side of the hospital, off Skaggs Road.