"A full investigation into the accident has been launched. The NZDF is currently notifying the soldier's family and supporting the injured soldier," the spokesperson said.
"The soldier is not a member of the New Zealand Special Operations Forces and the training activity was not part of the United States-New Zealand training exercise being held in the area.
"The training activity has been suspended and NZDF cannot make any further comment until the investigation has been concluded."
Defence Minister Ron Mark said he was concerned to hear about the incident this afternoon.
"Whilst I've not received a full brief into what has happened, I have been informed that the soldier is in a stable condition and an investigation is underway.
"My thoughts are with the injured solider and their family at this time and I wish them a quick and full recovery.
"I am conscious this is the third training incident in a relatively short space of time. I know that NZDF are taking this seriously, and I anticipate a full brief in the coming days," Mark said in a statement.
The incident follows the death of an SAS soldier during a training exercise two weeks ago at Ardmore.
Lance Corporal Nicholas Kahotea was jumping from a helicopter onto a building in the May 8 exercise but missed and fell several storeys to the ground below.
Kahotea was flown to Auckland City Hospital where he was later pronounced dead.
The father and husband was farewelled last week at Papakura Military Camp.