A 44-year-old man is in police custody after a shooting on Tasmania's east coast.

The man was allegedly involved in an argument with family members at a home in Champ Street, Seymour.

Police said he left the house and returned about 7:00pm with a .22 rifle.

Members of the man's family were in a shed on the property and police allege he fired shots into the shed.

One person sustained a gunshot wound to the arm but it was not considered serious.

The man then allegedly returned to his own home in the same street and continued to fire shots.

He was intercepted by police as he left the township in a station wagon.

Major crime detectives and forensic officers are at the scene.