Supersymmetry in singular spaces and domain walls

We discuss some recent work on brans world construction and supersymmetry i ssues. We introduce a concept of bulk & brane supersymmetry in the framewor k of 5-dimensional supergravity which allows to formulate the rules for sup ersymmetry in singular spaces. The original fine-tuning of the Randall Sund rum world brane which provides the flatness of the brane is shown to follow from bulk & brane supersymmetry on S-1/Z(2) orbifold. Examples of RS-type domain walls are presented.