Nowadays, Gravitational lensing is a fundamental tool to study the light propagation in the universe and the evolution of structures. Here, diferent forms of the Santos & Lima smoothness parameter as a funtion of cosmological redshift are used in order to describe various scenarios of evolution of structure. Its effects on the strong gravitational lensing SGL by galaxy cluster dark halos are analized in LCDM, EdS and OCDM cosmologies. The dark matter halos modeled by Navarro-Frenk-White singular profile and the Preses-Schechter approximation is assumed to describe its distribution. We found that SGL probability by galaxy clusters becomes to be sensible to the evolution of structures scenario considered for sources farther than z ≈ 2 and it strongly depends on the cosmology and the smoothness parameter actual value.