Children with ESRD can qualify for ESRD Medicare if one of their parents worked and paid Medicare taxes for a sufficient period of time. 

Someone is considered a child if they are,

• Unmarried and age 21 and younger
•  Age 22 to 25 (and receive some support from your parents)
• An adult dependent child (a child determined disabled before age 22)

Coverage of ESRD treatment for children works the same as it does for adults.