The Hollywood actor was appearing at New York's Cooking Live charity event, which was held today (September 25) to raise money for the Family Reach Foundation.
He explained that he usually only cooks his children's food, and that it normally only has three ingredients.
"I'm a terrible cook, but I do a little bit of it at home," Damon told People. "I'm relegated to kids' fare and I can make more of the functional stuff.
"I cook pasta with butter and steam broccoli. It's all about getting enough healthy food in front of them every three hours."
Damon revealed that he made sure his children - Isabella, 6, Gia, four, Stella, 23 months, and Barroso's daughter Alexia, 14 - liked vegetables from a young age in order for them to stay healthy.
"My wife [Luciana Barroso] and I introduced it to them at a very young age and they just don't know any different," he said.
"Luckily, I found out all three of my youngest girls love broccoli. There are times where I can't get them to eat protein or a little piece of fish because they are going crazy over the broccoli. Sometimes they're the ones bribing me to eat more of my vegetables."
He added that he has yet to get the hang of Brussels sprouts, saying: "That was always a tough one for me — and I was never crazy about cauliflower either.
"But I grew up eating a lot of salad. My mother made a salad with every single meal we had, so I was raised thinking that's how you eat. It's a good balance that I'm trying to teach to my own kids."
Matt Damon will soon be seen in Promised Land, which he co-wrote with The Office star John Krasinski.
Promised Land will debut on January 11 in the US. It is yet to receive a UK release date.
Watch the trailer below: