Both trampers were uninjured.
Shephard said it was important to be equipped and prepared for the conditions when tramping.
“We are reminding trampers in the alpine environment to take and know how to use ice axes and crampons and wear suitable footwear.
“Police would like to acknowledge those involved in the rescue, including iwi and LandSAR who helped lead to this positive outcome.”
A Fire and Emergency New Zealand spokesperson said they assisted at the scene before leaving it to the police.
Hato Hone St John responded with one ambulance and one rapid response vehicle, a spokesperson said.
“Our ambulance crews assessed and treated one patient at the scene.
“They did not require transportation to hospital.”