A composition for cryopreservation of cells and tissues of human and other animals in a safe manner without using toxic substances such as DMSO, as well as for freeze preserving or freeze-drying of foods and pharmaceuticals. In embodiments, ε-poly-L-lysine is reacted with succinic anhydride so that 60% or more of amino groups are blocked and, thus obtained polymer compound is added to Dulbecco-modified eagle MEM culture medium (DMEM) on market sale to form a cryopreservation liquid. In embodiments for foods or pharmaceuticals, the ε-poly-L-lysine derivative was added by 0.5-10 wt % to curb freeze concentration.
