Mine waste rock dump are formed by the provision of waste rock, according to the standard, to ensure long term stability. The use of geomembranes in mining structures is very strong at the moment due to its environmental characteristics; a relevant case is the use in mine waste rock dump, with the objective of sealing these areas is one of the very current applications in fields such as mining, as an example direct. In order for the applications to take place properly, it is vital to know the resistance parameters of the waste rock-geomembrane interface and how these vary in relation to the other parameters. The aim of this paper is to analyze the effect of the granulometry variation, using the original granulometry curve as the reference, and the others were structured by the correlations of the granulometry with a consistency of 50%, in the interface resistance parameters, in order to direct the appropriate dimensioning of structures with inclusion of this material. During the experimental program, samples obtained from physical characterization tests adequate to the current norms were used. The analyzes were based on small direct shear tests with rigid base, made at the interfaces of membranes of PEAD liner with waste rock of an iron mine of the state of Minas Gerais, Brazil. Nevertheless, the evaluation of the grain size effect at this interface can contribute to minimize the risks of physical stability, thus considerably lower environmental impacts.