The aim of this study is to develop a constitutive law to reproduce the mechanical behavior of a fluoro-polymer elastomer taking into account the temperature in the range of −40◦C à 100◦C. Several tension and compression cyclic tests and multi-step relaxation tests have been performed to examine the temperature effect on the elastomeric behaviour.A phenomenological model, named Hyperelasto-Visco-Hysteresis (HVH), is used to take the thermomechanical properties of the material into account for the temperatures higher than the glass transition temperature. The model, implemented in a laboratory code, uses three set of branches to represent different modes of caracterictic behaviour: an hyperelasticity contribution which represents the reversible elastic phase which occurs at the onset of the loading, a viscosity contribution which modelizes the strain rate dependent phase and an hysteresis contribution which describes the irreversible plastic phase. Material parameters as a function of temperature have been determined in using a simplified methodology based on tension and compression tests interrupted by relaxation steps. The model seems to be able to describe the stress-strain evolution of the studied elastomer under various mechanical loadings at different temperatures.