A man has been charged with murder after allegedly fatally stabbing his stepfather in Melbourne’s north-west.

The 32-year-old Preston man was shot by police after last week’s incident and remains in hospital.

He was charged on Friday after the incident at the Hillside home.

A 61-year-old, believed to be the man’s stepfather, was found on the lawn with critical injuries and could not be revived.

Victoria Police Detective Inspector Dean Thomas said the dead man’s stepson moved towards officers armed with an edged weapon, ignoring requests to drop it.

An officer fired one shot inside the house before the armed man went outside and stabbed a police vehicle’s tyre, police allege.

The man again moved towards police, who fired several shots, Thomas said.

He was hit in the lower body and remains in hospital. A bedside remand hearing was expected on Friday afternoon.

The stepson was known to police prior to what detectives were treating as a family violence incident, Thomas said.

A heavily pregnant 27-year-old woman, who police believe to be the alleged offender’s sister, was home at the time. She ran from the house.

She was uninjured but taken to hospital for observation.

The armed crime squad and professional standards command will probe the shooting, which is standard practice when officers fire their guns.

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-AAP