The Horry County Police Department said a domestic violence incident occurred in a home just before 12:15 p.m. and that shots were fired by Terry Brady. He fled the scene and was last seen near U.S. Highway 544 and Myrtle Ridge Road outside of Conway when authorities began their search.
It was not clear if Brady allegedly shot at responding officers. No injuries were reported, police said.
"He is considered armed and dangerous," the department tweeted while the search was underway. "You should not approach this individual."
Multiple law enforcement agencies responded to the scene. The police department did not disclose where Brady was found.
Authorities said a fire was connected to the shooting incident and advised residents to stay inside and for non-residents to stay away from the area.
Coastal Carolina University also advised people to remain indoors.