Visitors to Beijing Badaling Wildlife World are allowed to drive their own vehicles around the park but are warned not to get out in areas open to wild animals.
Video of the incident suggested park rangers in a vehicle were on the scene within seconds, but they were unable to save one of the women.
The Yanqing district government said the woman who survived was receiving medical treatment, without giving further details.
Park officials have declined to comment, saying only that the facility is closed because of forecasts for heavy rain.