Cytotoxic conjugates comprising a cell binding agent and a cytotoxic agent, therapeutic compositions comprising the conjugate, methods for using the conjugates in the inhibition of cell growth and the treatment of disease, and a kit comprising the cytotoxic conjugate are disclosed are all embodiments of the invention. In particular, the cell binding agent is a monoclonal antibody, and epitope-binding fragments thereof, that recognizes and binds the CA6 glycotope. The present invention is also directed to humanized or resurfaced versions of DS6, an anti-CA6 murine monoclonal antibody, and epitope-binding fragments thereof.