Abstract: Generalized Uncertain Space O:^ξ(s,f) as tor pit-excavation engineering is set up with analysis on fuzzy and random characteristics of excavation damage evolution. Fundamental model of initial damage effective tensors is introduced here. Furthermore, the simulation of fuzzy stochastic damage on pit excavation application is realized by the help of viscous- plastic fuzzy stochastic damage incremental vector functions fabrication on the basis of fuzzy damping model on damage field source and sink definition. Fuzzy stochastic damage boundary value, namely, {Ω_u}, is derived here from linear operator, and viscous-plastic fuzzy stochastic damage constitution model as well as viscous-plastic non-linear fuzzy stochastic numerical algorithm, in this paper, are formulated with damage effective tensors. Thereby, viscous-plastic fuzzy stochastic damage ratio vector functions is setup here on the basis of viscous-plastic fuzzy stochastic damage finite element method algorithm. So, the fuzzy stochastic unloading damage model is deduced overall and fuzzy stochastic damage evolution and development is interpreted deeply on pit excavation construction.