The paper presents a concise overview of the main features of design and behaviour of reticulated spatial structures, and specifically double layer grids (DLGs) and single layer braced domes. Emphasis is laid on behavioural aspects which are peculiar to these structural systems and which require special attention in design. Some of these features: A susceptibility to progressive collapse; An important role played by joint rigidity, even in stiff systems like DLGs; Sensitivity to imperfections such as member lack of fit in DLGs, and geometrical distortions in shallow domes. Design strategies to deal with these problems and enhance structural efficiency are proposed.