An automated machine for handling and embedding tissue samples contained on microtome sectionable supports. The machine includes an input member configured to hold a plurality of the microtome sectionable supports prior to a tissue embedding operation. An output member is configured to hold a plurality of the microtome sectionable supports after the tissue embedding operation. A cooling unit is configured to hold at least one of the microtome sectionable supports during the tissue embedding operation. A motorized carrier assembly is mounted for movement and configured to hold at least one of the microtome sectionable supports. The carrier assembly moves the support from the input member to the cooling unit and, finally, to the output member. A dispensing device dispenses an embedding material onto the microtome sectionable support and at least one tissue sample carried by the microtome sectionable support during the embedding operation.