Aston Villa reserve team coach will act as his no.2, with Alan Kelly as goalkeeping coach.
Staunton said: "I'm delighted and proud to be appointed Irish international team manager.
"I know that the calibre of the team I have will bring a huge range of experience and talent to the challenges that lie ahead. I can't wait to get started.
"I hope that the drive, passion and commitment that we have can reflect the Irish fans' real love for the game and have an impact, not just on the squad, but on the nation."