A woman has been killed in a suspected case of domestic violence, with a senior government minister describing her death as a tragedy.
A 57-year-old-man in a relationship with the woman has been arrested and taken into police custody.
Neighbours raised the alarm on Tuesday night after hearing yelling and fighting inside a Darwin townhouse.
"We called police because we could hear her screaming, but they didn't come too quick," one neighbour told AAP on Wednesday.
"If they think we stole something (police) are here like lightning, but when we say we (are) gonna die they don't show up."
Neighbours said they first called police around 8pm.
Several confirmed the woman had been trying to "move out".
NT Police said they were notified that a 43-year-old woman was dead just after midnight and responded quickly.
They could not confirm if a weapon was involved or how the woman died.
As well, they could not confirm if they received any earlier calls, saying they were still in "preliminary investigations".
One neighbour said he peeked out his window about 10pm and saw a woman sitting on the curb crying.
"An ambulance came but with no sirens, so we knew, we knew they were all too late," he said.
Emergency services were unable to resuscitate the woman and major crime detectives were notified later that evening.
Police could not confirm if those involved were on the Family Safety Framework, a prevention program that wraps support around families at risk of being killed by domestic violence.
Domestic and Family Violence Minister Kate Worden said it was a tragedy yet another woman had died in the Northern Territory.
"The police will go through their process, but when is this going to stop?" Ms Worden said.
The suspected domestic-violence followed the publication of a report into the killing of four Aboriginal women, which showed systemic failings by police and government agencies to respond to calls for help.
The Northern Territory has the deadliest rates of domestic violence in Australia, yet receives just four per cent in federal funding for services.
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