A border barrier is a big fence that goes along the edge of a country to keep certain things out or in. It's like when you build a wall around your house to keep your dog from running away.
The U.S. government wants to build a big fence along the border with Mexico to stop illegal immigrants from coming into the U.S. It would be kind of like a border guard that helps to control who can come into the country.
Some people are in favor of the border barrier because they think it will help stop illegal immigration and make America safer. Other people think it's not a good idea because it could be expensive to build and it may have negative effects on the environment and people's lives who live along the border.