A woman who yesterday allegedly stabbed a woman in back of the head at an Alice Springs licensed premises, and then stabbed a man in the arm and upper body, is still on the run, NT Police said.

Police director of communications Mark Wilton said in a statement that about 3pm Tuesday the woman allegedly stabbed the female victim in the back of the head with an unspecified edged weapon at an unspecified licensed premises on Todd Street in the city centre.

He said a man intervened and was also allegedly stabbed in the arm and upper body, before the alleged offender left the scene.

Mr Wilton said police believed that all three knew each other, and the two victims were taken to Alice Springs Hospital with minor injuries.

Police are asking the public for help to identify and locate the offender, and asked anyone with information to call them on 131 444 (quote reference number P25041144). Anonymous reports can also be made by calling Crime Stoppers on 1800 333 000 or through the website.

If you, or someone you know are experiencing difficulties due to domestic violence, support services are available, including, but not limited to, 1800RESPECT (1800737732) or Lifeline 131 114.