The shocking incident happened at the Maramba River Lodge in Livingstone, in Southern Province, Zambia.
Spokesman Danny Mwale of the Zambian Police Service said that a 57-year-old Belgium woman and a 64-year-old man from the Netherlands were killed after getting too close to an elephant because they wanted to take pictures up close.
According to the Zambian police, both tourists had multiple injuries all over their bodies after being trampled by the elephant.
Dutch and Belgian media identified the two deceased as Sabine Goossens, a Belgian woman who had lived in Africa for 10 years, and a Dutch friend of hers called Wim Van Griensven, from the city of Roermond, in the province of Limburg, in the Netherlands.
According to their reports, the Dutchman died when he tried to rescue Goossens from the elephant attack.
Family members of the deceased denied reports that the two tourists came too close to the elephant to take pictures.
They said that they were just looking at the elephants at a distance when suddenly one of the animals ran out of the herd towards them, trampling them both.
The bodies of both tourists were brought to a mortuary in Livingstone.
Zambian authorities have warned tourists before about the dangers of elephants.
According to Zambian media, a week ago a security guard was trampled to death by an elephant in the country’s most popular city among tourists while he was on his way to work.