The Catch decorator in NestJS is used to handle errors thrown by methods. When a method runs, if it completes without error, the catch decorator does nothing and the method's result is returned. If the method throws an error, the catch decorator intercepts it and returns a custom response, such as an error message. This helps keep error handling clean and centralized. The execution table shows the steps: method call, error thrown or not, catch decorator response, and final output. Variables like the exception object and method result change accordingly. Understanding when the catch decorator activates is key to using it effectively.