The discovery was made in the property in the Woodlands estate, Clonroche. The man is believed to be in his 20s and the woman is thought to be in her 30s.
Irish state broadcaster, RTÃ‰, said police were not treating the deaths as suspicious at this time.
Post-mortem examinations are due to be carried out at Waterford University Hospital on Tuesday.
The bodies of a man and a woman have been found in a house in County Wexford in the Republic of Ireland.