An object of the present invention is to provide a novel medical application to regenerative medicine that uses pluripotent stem cells (Muse cells). The present invention provides a cell preparation for treating cerebral infarction and sequelae associated therewith that contains SSEA-3-positive pluripotent stem cells isolated from mesenchymal tissue in the body or cultured mesenchymal cells. The cell preparation of the present invention is based on a brain tissue regeneration mechanism by which Muse cells differentiate into nerve cells and the like in damaged brain tissue by administering Muse cells into cerebral parenchyma.