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Interval arithmetic has been applied to model uncertainties. Generalized stochastic Petri Net (GSPN) is one of most commonly applied timed Petri net models for performance and reliability evaluation. This paper describes the interval generalized stochastic Petri net (IGSPN) as an interval extension to the GSPN model. The IGSPN analysis takes into account the effects of variability on exponential transition rates and weights when calculating performance indices. Three case studies are presented for describing the model as well as for presenting the analysis methods. IGSPN analysis for performance evaluation may be useful for engineers and technicians as a tool for decision-making.