A method of making an organ or tissue comprises: (a) providing a first dispenser containing a structural support polymer and a second dispenser containing a live cell-containing composition; (b) depositing a layer on said support from said first and second dispenser, said layer comprising a structural support polymer and said cell-containing composition; and then (c) iteratively repeating said depositing step a plurality of times to form a plurality of layers one on another, with separate and discrete regions in each of said layers comprising one or the other of said support polymer or said cell-containing composition, to thereby produce provide a composite three dimensional structure containing both structural support regions and cell-containing regions. Apparatus for carrying out the method and composite products produced by the method are also described.