A 15-year-old boy has been charged for allegedly committing an indecent act on a child between the ages of 12 and 16, NT Police said.

Police director of communications Mark Wilton said in a statement that at 5.35pm on Thursday police responded to a report of a child aged between 12 and 16-years old allegedly being indecently assaulted in the rural suburb of Arumbera, outside of Alice Springs.

He said the child did not know the alleged offender.

Mr Wilton said the alleged offender was arrested on Friday morning, and has been charged for committing an indecent act on a child, as well as burglary, and was remanded in custody to appear in court today.