The present invention relates to an apparatus 300 for storing body tissue 306 comprising a plurality of storage units 350, each storage unit comprising a cavity 352 configured to receive a portion of body tissue, wherein at least one storage unit is detachably connected to at least one other storage unit. In another embodiment of the invention, the apparatus comprises a separator 464 for dividing the cavity into a plurality of chambers. Also claimed is a method for processing body tissue comprising the step of: providing a portion of body tissue dividing the body tissue into a plurality of pieces and storing the pieces cryogenically, wherein each piece is stored in a separate chamber or storage unit. A kit is also provided which comprises the apparatus for storing body tissue and a device for collecting blood from body tissue. Preferably the body tissue is umbilical cord tissue.