Cells suitable for transplantation which have at least two different epitopes on a surface antigen altered prior to transplantation to inhibit rejection of the cells following transplantation into an allogeneic or xenogeneic recipient are disclosed. These cells are more successfully transplanted than cells which have only a single epitope on the surface antigen altered. Preferably, the antigen on the cell surface which is altered is an MHC class I antigen. Two different epitopes on an MHC class I antigen can be altered by contacting the cell with two molecules, such as antibodies or fragments thereof (e.g., F(ab')2 fragments), which bind to two different epitopes on the antigen. Preferred epitopes on human MHC class I antigens to be altered are epitopes recognized by the monoclonal antibodies W6/32 and PT85. Improved methods for transplantation utilizing cells which have at least two different epitopes on a surface antigen altered prior to transplantation are also disclosed.