The Northern Territory Coroner has been asked to find that police did not contribute to a crash that killed two people in Alice Springs last year.

Just minutes before the fatal crash, police had tried to stop the car.

But the driver sped away, crashing into a power pole at more than 170 kilometres an hour.

The driver, Kwementyaye Norman, 28, and his woman passenger Kwementyaye Taylor, 43, died.

At a coronial inquest at Alice Springs, police gave evidence that they did not pursue the car.

In closing submissions, Counsel assisting the Coroner and Counsel representing the police said that police had done nothing wrong.

They recommended that Coroner Greg Cavanagh find the police complied with pursuit policy.

Lawyers representing the police asked Mr Cavanagh to recommend jail time for drivers who try to evade police.

They said it was common knowledge in the town that police would not pursue drivers who tried to evade them and that the current penalty for doing so was an $80 fine.

The Coroner has told the deaths in custody inquest he would support laws allowing for the seizure of vehicles used to flee from officers.

The inquest heard that people try to evade police on a weekly basis but it was rare for officers to pursue the cars.

Mr Cavanagh said he appreciated that police feel conflicted in such situations and that officers need to be given more tools to catch offenders after the event.

He said he wasn't attracted to the idea of increasing fines, but thought impounding vehicles would be a real deterrent.

The Coroner will hand down his findings later this year.