Zoe Holohan and Brian O’Callaghan-Westropp became separated as they tried to escape the fires in the coastal town of Mati.
The couple flew out to Greece for their honeymoon on Saturday.
Ms Holohan is being treated in hospital after suffering burns to her head and hands, but her husband has not yet been found.
The couple, who live in Dublin, were driving when they were forced to flee their vehicle.
Ms Holohan was able to escape to a nearby beach.
The Department of Foreign Affairs said it is providing consular assistance to a number of Irish people who have been caught up in the fires, but would not give details about specific incidents.
Around 80 people have died in the wildfires which have devastated a number of Greek villages and holiday resorts.