SAFE condemned jump racing due to the "horrific" injuries horses suffer after falling or crashing into jumps, which often lead to their deaths.
New Zealand Thoroughbred Racing general manager Matthew Hall said the body has fairly robust measures in place to ensure the safety of horses and riders, and the safety record has been good in the last three years.
"There has been concern this season, so we are doing a full review to see what can be done to mitigate the inherent risks."
Hall said this includes getting an expert panel to review all of the falls.
He said there were no plans to ban jump racing in NZ as SAFE has suggested.
SAFE is urging concerned New Zealanders to sign a pledge not to bet on jumps racing.