29/11/2016 11:53 AM AEDT | Updated 29/11/2016 2:12 PM AEDT

Man Shot by Police After He Allegedly Pointed A Gun At His Three-Year-Old Daughter's Head

A 23-year-old woman and a 7-month-old boy were also in the car.

A man has been shot by South Australian Police after he allegedly pointed a gun at his three-year-old daughter's head during a confrontation with police in central Adelaide.

Police were called to an alleged assault between a 26-year-old man and a 23-year-old woman in Cumberland Park just before 9pm on Monday.

They say the suspect was seen driving away from the area with the woman, a 3-year-old girl and 7-month-old-boy inside the car -- but did not have a description of the vehicle.

A Polair helicopter tracked the car as it sped through Adelaide, through city streets including popular shopping destination Rundle Mall, before police stopped the car on the ground in Hindley Street.

"It will be alleged that he threatened the three-year-old girl with a firearm and that's when a decision was made for a police officer to fire at the offender," Assistant Commissioner Paul Dickson told the media in Adelaide.

The man was taken to the Royal Adelaide Hospital for treatment of a non-life threatening gunshot wound, police said in a statement.

The woman is being treated in hospital with minor injuries and very luckily, both children suffered from no physical injuries.

"Obviously there will be a whole lot of distress ... but we do not believe they have physical injuries," Dickson told the media.

"It's a terrible incident. You could imagine how horrific it would be for the young mother and the two children".

The investigation continues.