This study is a single site, phase I, prospective study of the safety of intravenous sibling cord blood infusion in 15 children ages 1-6 years with Cerebral Palsy (CP). All subjects will be treated with sibling cord blood cells. The first six will receive cord blood cells from an HLA-matched sibling. The following nine subjects will receive cord blood cells from an HLA-mismatched (≥3/6 match) or matched sibling. The duration of study participation will be six months from the time of the cord blood infusion.