The incident took place at the Nakabolelwa Conservancy in north-east Namibia and has recently surfaced online.
The two men are soon forced to face the music, as the hunters become the hunted when the elephant herd charge at them. Photo / News24
"There is a small quota of elephants in the area and we only hunt two elephants a year," Namibia-based professional hunter Corne Kruger told News24.
Kruger told the news website the video had been filmed three or four years ago, and stressed that the shooting of the bull had been completely "legal and sustainable".
There are several companies in Namibia offering hunting safaris to visiting foreign tourists.
The season runs from March until the end of October, and while foreign nationals do not require a licence to take part, a professional hunter accompanies all big game hunts.
Legal permission to hunt any animal is required, or it becomes poaching, which is a serious issue, in particular when it comes to conservation of certain species such as elephants, lions and rhinos.