“The weather has locked us out and it’s not looking ideal for the next few days either,” he said.
“It’s a matter of waiting patiently and just hoping that the weather will allow us to get in there.”
The climbers are being provided medical advice from specialist medical experts.
Police have not said how the two climbers became injured.
“The Aoraki Mt Cook Alpine Rescue Team remain in communication with the two climbers and will continue to assess weather conditions throughout the day to see if there is an opportunity to rescue them,” a police spokesperson said.
“The weather is continuously being reviewed for a suitable weather window, and search and rescue personnel are on standby.”
Police said the climbers have plenty of food and water supplies and are being well supported.