Northern Territory Police are investigating a robbery in Alice Springs overnight.

Just before 1am a woman was sitting at the bottom of the stairs between the two car parks on top of Anzac Hill when it is alleged she was approached by a group of about five youth who demanded cigarettes.

It is alleged the youth became aggressive towards the woman, who handed over a sum of cash before one of the youth shoved her causing her to fall to the ground.

The group left the area and the woman notified police.

Officers conducted patrols of the area and known locations, and investigations into the incident continue.

Police urge anyone with information that may assist with investigations into the incident, to contact them on 131 444 or report it anonymously to Crime Stoppers on 1800 333 000 and reference PROMIS number 8934642.