Acceptance and popularity of space structure among architectures and designers is due to reasons such as: great spans covering, magnificent architecture, extremely low weight, the ease of building process, speed in installation, quality of response to earthquake, etc. Considering that usually large population live in space structured buildings, resistance and safety of the structures against destructive factors such as earthquake is very important. In this paper, we examine the effects of different geometrical parameters such as: type and shape of support on performance level of single grid layer of space structures and their performance at different risk stages are examined based on the regulations stated in Iranian Standard for Retrofitting of Existing Buildings. Since there is no acceptance criteria in international codes defined for determination of performance level (among Iranian code) in space structures, these criteria are suggested primarily. Finally performance points and levels of these structures are obtained by illustrating the capacity curves. Nonlinear static analyses (pushover) are carried out on the selected models using SAP and ANSYS software. Performance levels and capacity spectrums are obtained by FEMA and ATC40 bylaw.