Yes, clownfish live in salt water. They are exclusively saltwater fish and cannot survive in freshwater environments.
Clownfish, also known as anemonefish, have evolved to thrive in the specific conditions of saltwater reefs. Their bodies are adapted to maintain the correct balance of salt and water, a process called osmoregulation, which is impossible in freshwater. Freshwater would cause their cells to absorb too much water, leading to organ failure and death.
The reference video clearly states: "If you were wondering can different types of clownfish live in fresh water the answer is absolutely no." This reinforces the fact that clownfish are solely saltwater creatures.