My Life: Stammer School follows the children as they attend an intensive two-week course at the Michael Palin Centre for Stammering Children in London.
Palin told The Sun: "My father had a very severe stammer. His life might have been so different if he had had this therapy.
"If children can leave here with their stammer reduced and confidence restored, it's the best feeling you can have."
Palin recently revealed that his father's "silent suffering" inspired him to open the centre in 1993.
My Life: Stammer School airs on February 26 at 11.15am on BBC Two.