This trial is designed to evaluate the use of cells from cord blood for the treatment in children who have motor disability due to cerebral palsy. The trial is being conducted by Georgia Health Sciences University and Georgia Regents University. Participants must have their own cord blood stored and be older than two years of age (and up to 12 years of age). Participants will be divided into two groups. The first group will receive their cord blood intravenously (via IV). The second group will initially receive a sham injection but will then receive their cord blood. Neither the children, their carers or their doctors will know which group they are in (observer-blinded crossover investigation). Participants will be monitored for complications, as well as changes in their clinical condition. The trial and expects to enrol 40 subjects with the study estimated to be completed February 2014.