According to the Independent, Francis suggested parents show forgiveness but also "correct with firmness" while not discouraging the child.
The Pope said: "One time, I heard a father in a meeting with married couples say 'I sometimes have to smack my children a bit, but never in the face so as to not humiliate them'.
"How beautiful! He knows the sense of dignity! He has to punish them but does it justly and moves on."
Reverend Thomas Rosica, a Vatican press office spokesman, later said that the Pope was not condoning violence or cruelty towards children, but was instead advising on "helping someone to grow and mature".
"Who has not disciplined their child or been disciplined by parents when we are growing up?" he asked, adding: "Simply watch Pope Francis when he is with children and let the images and gestures speak for themselves!"
He went on to argue that to "infer or distort anything reveals a greater problem for those who don't seem to understand a pope who has ushered in a revolution of normalcy of simple speech and plain gesture."
The Pope's remarks come after the UN human rights committee sharply criticised the Catholic Church's position on corporal punishment last year, as part of a report monitoring the implementation of the UN treaty on children's rights.
Recommendations by the committee were prompted by reports of widespread physical abuse and the use of corporal punishment in Catholic-run schools and institutions, which it said had reached "endemic levels."
The Vatican responded by saying that it did not promote corporal punishment, and it had no power to enforce any kind of ban in Catholic schools, and was only responsible for protecting children in the Vatican City state.
Under the treaty, corporal punishment, including at the home, is prohibited in as many as 39 countries from Sweden and Germany to South Sudan and Turkmenistan.
The UK is not a signed up member of the treaty, with the Government saying: "the use of physical punishment is a matter for individual parents to decide".
