Police have shot a man who barricaded himself inside a home in Sydney’s north west for eight hours.

Officers were called to the home in Thornleigh about 9:30am following reports a man was inside armed with a crossbow.

A perimeter was set up around the house and police negotiators were called in.

At about 5:30pm police forced their way into the house and officers tried to arrest the 34-year-old when he was shot.

The man was shot in the hip and taken to Royal North Shore Hospital with non-life threatening injuries.

A 33-year-old woman was inside the house during the incident but police say she was not being held hostage and was not injured during the arrest.

The circumstances surrounding the shooting are being investigated by police.