A woman who allegedly stabbed three people she knew in the head with a broken bottle in a Sadadeen home early yesterday morning has not yet been caught, NT Police said.

Police director of communications Mark Wilton said in a statement that about 5.40am Thursday, police received reports of multiple people with injuries due to alleged stabbings in the Sadadeen house.

He said a 21-year-old woman allegedly stabbed a 25-year-old man with the broken bottle, resulting in serious face injuries.

She then allegedly stabbed a 22-year-old man, and a 52-year-old woman, both suffering injuries to their head and upper body respectively, police said.

Mr Wilton said all four people knew each other, and the three victims were treated at Alice Springs Hospital, while the alleged offender has not been caught.

Police are asking anyone with information to call them on 131 444 (quote reference NTP2400077315), or make an anonymous report to Crime Stoppers on 1800 333 000.

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.