In Laravel, controller middleware runs before the controller's methods. When a request arrives, the middleware checks conditions like user authentication. If the user passes the check, the request proceeds to the controller method, which then returns a response. If the user fails, the middleware blocks the request and can redirect the user, for example, to a login page. This process ensures only authorized users access certain controller actions. Middleware is applied in the controller's constructor using $this->middleware('auth'). This flow helps keep your application secure and organized.