A 29-year-old man has died after being shot by police in Sydney’s south-west.

A critical incident investigation is underway after the incident in William Street, Yagoona just before 9.00am.

New South Wales Police said officers were responding to reports of a domestic violence-related incident at a home.

Police allege the officers were threatened by an armed man, and a Taser was used before a police officer fired a gun.

Police said first aid was rendered to the injured man before the arrival of NSW paramedics.

He was then rushed to Liverpool Hospital where he later died.

Police said a critical incident team with officers from State Crime Command’s homicide squad will now investigate what happened, including the discharge of a police firearm.