Gibson was under an self-imposed exile after former Republic of Ireland boss Giovanni Trapattoni left him on the bench for the entire Euro 2012 finals.
Andy Reid and Anthony Stokes have also been recalled. Reid has not featured for the Republic of Ireland since an incident at the team hotel in 2008.
Stokes has impressed for Celtic in recent seasons, but was not picked by Trapattoni.
Republic of Ireland squad: David Forde (Millwall), Keiren Westwood (Sunderland), Darren Randolph (Birmingham), Joey O'Brien (West Ham), Sean St Ledger (Leicester), Marc Wilson (Stoke), Seamus Coleman (Everton), Stephen Kelly (Reading), Ciaran Clark (Aston Villa), Paul McShane (Hull), Darron Gibson (Everton), Glenn Whelan (Stoke), James McCarthy (Everton), Paul Green (Leeds), Andy Reid (Nottingham Forest), Aiden McGeady (Spartak Moscow), Anthony Pilkington (Norwich), James McClean (Wigan), Robbie Brady, Stephen Quinn (both Hull), Wes Hoolahan (Norwich), Shane Long (West Brom), Robbie Keane (Los Angeles Galaxy), Jon Walters (Stoke), Kevin Doyle (Wolves), Anthony Stokes (Celtic).