The Children's Charity will also feature on all kids size replica shirts.
New first team sponsors SBOBET will also make a donation to Ty Hafan.
Frank Ady, head of corporate partnerships at Ty Hafan told the official Cardiff website
"Everyone here is absolutely delighted that Cardiff City have chosen our logo to be on the under-16, under-18 and replica Bluebird shirts.
"Many of the life-limited children, young people and families who use our services are huge fans of the club and the exposure will help enormously to raise the much-needed awareness and support for the charity, particularly amongst the younger generation.
"On behalf of everyone at Ty Hafan I would like to say a heartfelt thank you to the club and its chairman and their sponsors for giving us for this fantastic opportunity."