Police are investigating after a coffee shop was robbed in River Hills this morning..

Officers were called to the Bogong Street shop shortly after 6am following reports that two men entered the business armed with an axe.

One of the men grabbed a computer off the front counter and the woman working at the business tired to grab it.

During the struggle the man struck the woman on the hand with the axe and the pair then fled the scene with the computer.

The woman was treated at the scene for non-life-threatening injuries.

The two men are believed to be in their 20s, around 182cms tall and had slim builds, with one of them believed to be Caucasian in appearance.

Investigations into the robbery continue.