Welcome !

Are you referring to Dependent benefits? If so, then the answer is Yes. Your children will receive 50% of your SSDI benefit, split between them. So, if you have 2 children, they will each receive 25% of your SSDI benefit. If you have only one, he/she will receive 50% of your SSDI benefit - until they reach 18.

If your child is disabled, he/she can continue the benefit as an adult. Here is the link regarding Benefits for Children.

http://ftp.ssa.gov/pubs/10085.html#benefits