A: Social Security disability is a common term that includes two types of benefit programs payable if an adult or a child is disabled - Social Security Disability Insurance (SSDI) and Supplemental Security Income (SSI). Adults can simultaneously qualify for both SSDI and SSI benefits. Additional SSDI benefits may be paid to an adult if they have family members who are financially dependent on them. Disabled children cannot receive SSDI benefits based on their own disability. Disabled children can receive SSI disability benefits regardless of whether the parent is disabled.