Fritzl also said that Elisabeth had stopped following rules when she hit puberty and that he locked her up for her own good.
"She stayed out all night, she drank alcohol. She ran away twice and I always brought her back home."
His revelations, which were confirmed to be authentic by Mayer, are seen by many as the lawyer's strategy to prepare for an insanity defense.
Mayer told reporters in Vienna, "From a psychological point of view, there can hardly be a more absurd case and it is my job to show the man as a human being, not the horrific monster and sexual tyrant the media is portraying him to be."
The lawyer, known for taking on notorious cases, has had three in-depth conversations with Fritzl.
Meanwhile, Austrian prosecutors say it is "increasingly likely" that Fritzl, who has confessed to imprisoning and raping his daughter and fathering her seven children, will be charged with murder in the death of a newborn that died shortly after birth in the dungeon.