"The blades were assessed as too badly damaged for the vessel to be able to use them for propulsion from the ice field.
"The crew on the Polar Star then rigged up tow lines and began to tow the Antarctic Chieftain to open water. They are making slow, but steady progress and are currently approximately 60 nautical miles from clear water in the North," Mr Reynecke said.
Meanwhile the New Zealand-flagged fishing boat, Janas, is also proceeding to the area to provide assistance if required.
"The Janas has been making good progress, and is around 485 nautical miles (900 km) to the north-west, and expects to reach the area on Monday night," Mr Reynecke said.
Weather conditions for all three vessels continued to be favourable.
The Antarctic Chieftain is located at the eastern edge of New Zealand's search and rescue region, approximately 900 nautical miles (1,700 km) from McMurdo Sound.
There is a crew of 26 on board, 13 of which are New Zealanders.
The fishing boat's hull is not damaged, and there has been no spill of oil from the vessel.