The 74-year-old has been jailed for murder, rape, enslavement, coercion and incest after caging his daughter in a rat-infested dungeon for 24 years and fathering seven children by her, six of whom survived.
Under Austrian law, Fritzl is free to choose from three prisons that offer special sections for 'psychologically abnormal' convicts.
According to his lawyer, Rudolf Mayer, he will select Garsten, reports The Times.
In the Garsten, a former Benedictine convent about 30 minutes' drive from the house in the provincial town of Amstetten, where he held his daughter Elisabeth prisoner from the age of 18, Fritzl would be able to improve his English or study other foreign languages.
At the prison, he will also be trained for choir singing, or training in a gym.
Also, he will be offered a wide variety of hobbies and entertainment, including tennis, darts and art classes.
The prison, set in woodland in the foothills of the Alps and considered one of the best in Austria, provides inmates with the light and fresh air that Fritzl's victims were deprived of in their dank cellar.