Inspired by the concepts of stability and boundedness with respect to partial components for the functional differential equations in the relevant literature, this paper defined the concepts of stability and boundedness with respect to partial components for finite delay difference systems. By means of the comparison principles it establised several criteria on stability as well as boundedness of solutions via discrete Liapunov functionals or Liapunov functions, which extended the relevant known results and enriched the contents of the qualitative theory for delay difference systems.