The England captain, 29, will read The Lion Inside written by Rachel Bright and illustrated by Jim Field.
It follows a shy little mouse who sets out on a journey to find his roar and is a book which Kane chose himself as it is one he has read to his own children.
Speaking on the book Kane said: “One of my favourite things to do is sit down with my children before bedtime and read them a book. I enjoy this quality time with them.
“They especially love the book The Lion Inside so they will be extremely excited to hear this.”
The episode will air on Monday, October 10 and will coincide with World Mental Health Day, raising awareness of mental health issues.
This year’s theme is “make mental health and wellbeing for all a global priority” which aligns with Kane’s chosen book as it touches on themes of “friendship, confidence and self-esteem”, the BBC said.
Strictly Come Dancing winner Rose Ayling-Ellis became the first person to sign her story in British Sign Language earlier in the year.