A mother was feeding her two-week-old baby when gunshots were fired into her home in Melbourne's north, narrowly missing her head.

Authorities were called to the property at Mill Park after two shots were fired into the home around 4.30am on Monday, February 4.

The husband and wife, both 28, were home with the infant, 15 days old, at the time of the shooting. None of them were injured.

Detective Acting Sergeant Phil Crawford said the woman was shaken after the incident.