Then speak directly to those concerns. Four issues often lurk beneath the surface when a company tells you you're overqualified. First of all, the company may think you'll jump ship when a better offer comes along. Counter that by pointing out your longevity in previous jobs. Or if you've been a job hopper, offer to sign a contract to remain with the company for a specific amount of time.
Companies often worry that a more experienced person is going to cost more than a younger worker.
Counter that one by giving specific examples of how you helped cut costs or increased revenues in past jobs. Some interviewers will think that the job you are applying for is beneath your skills. In this case, show your humility and enthusiasm. Let them know you'll be a great member of the team. And companies often assume that as an older worker you'll be tougher to fire because of age discrimination laws.