A 31-year-old Aboriginal prisoner has died in custody at Darwin Correctional Centre, Northern Territory Correctional Services has confirmed.

A Department of Correctional Services spokesman could not confirm whether the death was suspicious or not.

The minimum security remand prisoner was discovered in his cell by correctional officers just before 6:30am.

"Correctional officers attempted to revive the prisoner but he did not respond to their resuscitation attempts," a statement read.

"Counselling will be made available to the prisoner's family as well as correctional staff and prisoners."

The spokesman said NT Police would investigate the death.

A report will be prepared for the coroner.