The Adoption Authority is examining approximately 140 births suspected of being illegally registered.
This is in addition to the 126 confirmed cases of people whose births were falsely registered by the former adoption society St Patrick's Guild.
Minister for Children Katherine Zappone told the Dáil that a validation exercise is being carried out on the 140 new cases.
Earlier, she said told the Dáil that some of the 126 people whose births were falsely registered by St Patrick's Guild would never be informed.
Ms Zappone said there were people the State would not be able to contact, as some files had been deliberately designed to conceal identities or the people could be deceased.
It emerged that of the 126 cases between 1946 and 1969, 79 may be entirely unaware of the true circumstances of their birth.
Minister Zappone described the identification by Tusla that the births of 126 individuals from St Patrick's Guild were registered illegally as "cruel and inhuman".
She said: "It is about the shaming of women, it is about the shaming of mothers, it is about how this shaming has been inherited by their children.
"I am truly sorry that this has happened."
Minister Zappone said neither Tusla nor the Adoption Authority were out to destroy, upset or split families, and experienced information and tracing workers have been allocated to the cases.
"They will work in a measured and sensitive way and at the pace of the individual concerned," she added.
Ms Zappone signalled that criminal prosecutions could occur.
She said false registration was an offence and "the gardaí must review the evidence and make a judgment with the DPP on how to proceed".
She said people were "lied to and denied information about their true identity".
"They need answers explanations and the choice or opportunity to meet their birth parents" she added.