Damon is currently in South Africa, where he is working on the film The Human Factor under the direction of Clint Eastwood.
Between scenes, the 38-year-old star visited the border, where thousands of people are trying to escape the economic misery of their country.
"I have spoken to so many people who went through so much to get to this point. It is testament to the situation across the border in Zimbabwe," Damon said.
Approximately three million people from Zimbabwe are living along the border of South Africa. Six thousand of those people are allowed into South Africa each day.
With the help of Brad Pitt and George Clooney, Damon organised the human rights group Not On Our Watch. The goal of the organisation is to bring attention to the plight of the people living in this area of the world.