The tearing behavior of fiber-reinforced laminated composite textile plays the key role in the decision of mechanics performance of high altitude airship envelop material, even directly deciding its safety and stability. This paper, based on typical woven fabricated fiber yarns’ characteristics of geometry and mechanics, adopts Euler-displacement deformation analysis to explore yarn bundles deformation effects on tearing behavior and strength of envelope material with prefabricated damage and crack. Also, models with prefabricated crack with different size and textile density are respectively built to find factors that affect tearing behavior and strength of envelope material. From tests, it can be observed that the built models for predicting its tearing strength are in conformity with the experimental data. Nonlinear relationship is reflected between the initial crack width or yarn bundles density with tearing strength. Conclusively, the methods and models adopted in this paper provide an effective and innovative mind on tearing behavior and strength of fiber reinforced envelope material and make the foundation for its engineering application.