A woman's died from a gunshot wound, after an incident near Minehead over the weekend.
Emergency services were called to the village of Winsford just after 2.30pm on Saturday.
A man was airlifted to hospital.
Police investigations have been continuing at the scene.
An Avon & Somerset Police spokesperson said: "We were called to reports of what appeared to be the noise of a gunshot at a property in Winsford near Minehead at about 2.30pm on Saturday.
Reports suggested that a second gunshot was heard shortly afterwards.
"A woman was seriously injured by a gunshot wound. Despite receiving treatment at the scene, she sadly died shortly afterwards.
"A man is in police custody. He was also injured and suffered life threatening injuries was airlifted to hospital. He remains in a critical but stable condition.
"The area remains cordoned off by police officers who are providing reassurance and support to people in the area.
"Crime scene investigators are carrying out a detailed examination of the scene.
"Enquiries into the incident - which is believed to be self-contained - are continuing as officers piece together exactly what happened."