Punic language is the way that people in a place called Carthage used to talk a long, long time ago. Imagine a different language that people from another country use to talk - like when you hear someone speaking Spanish or French, but it's not English.
Punic language was spoken by people who lived in Carthage. It's called "Punic" because the ancient people who spoke it were called "Punics." It was similar to the language that we call Phoenician, but it had some differences.
People in the city of Carthage used Punic language to communicate with each other, just like you use English with your friends and family. They also used it to write things down, like stories or ideas they wanted to remember.
Even though Punic language isn't spoken anymore, some people still study it so they can learn about the history and culture of the people who used to speak it.