Mass production of tires, as well as the difficult storage or elimination is a real environmental problem. Various methods for recycling tires are currently used, such as mechanical grinding, which puts vulcanized rubber, steel and fibres apart. The rubber may be used in several industrial applications as flooring, insulations, footwear, etc.; The aim of this paper focuses on finding a new application for the old used tires (GTR). Tires dust and recycled Ethylene Vinyl Acetate (EVA) thermoplastic have been mixed, and we have checked the maximum accepted values of GTR concentration that can be admitted while keeping dielectric, mechanical and thermal properties within acceptable values, as well as initial polymer microstructure. This would allow including GTR in industrial applications of recycled EVA. The recycled tires dust which result from the industrial milling processes has been divided by sieve in three different categories according to the size of the particles(0%, 5%, 10%, 20%, 40% and 70%) in order to establish its conduct through electrical, mechanical, thermal and microstructure tests, which will be held in a range of temperature between 30 degrees C and 120 degrees C, and with a range of frequency between 1.10(-2) Hz and 3.10(6)Hz.