Coupling effects of stress, temperature, pore pressure and damage on hydraulic parameters of hydrocarbon and geothermal reservoirs and their production wells show that the realistic design of the production process from these reservoirs requires a comprehensive stress-strain behavioral model. In this study, through presenting a novel definition of total damage due to the effects of high temperature fluid in porous medium, a coupled stress-strain Thermo-hydro-mechanical-damage behavioral model of rock in three-axial loading condition is performed based on the effective medium theory, the concept of Biot effective stress, power probability density function and convection and conduction heat transfer. Results show that: A) Increasing Biot effective stress coefficients, rock permeability, pore pressure and temperature leads to the augmentation of the coupled Thermo-hydro-mechanical damage while the increase in confining pressure reduces damage thus improves rock bearing capacity. B) As temperature increases, total Thermohydro-mechanical damage rate decreases and its peak occurs at larger strains, C) Modified Lade failure criterion provides a more realistic prediction from coupled Thermo-hydro-mechanical-damage behavior compared with Mohr-Coulomb and Dragger-Prager failure criteria. Generally, it is concluded that taking into account the concept of Biots effective stress and convection heat transfer along with power distribution function will lead to more accurate predictions of the coupled Thermo-hydro-mechanical-damage model.