Abstract: A new creep model of Ni-based single crystal superalloy was presented.Differential constitutive equations were based on transmission electron microscope(TEM) observation from creep experiment of single superalloy DD6 and mechanisms of single crystal superalloys generation 1 and 2.The non-linear equation was developed under the framework of crystal plasticity and derived from Orowan equation and evolution of dislocation density developed during the creep deformation process with effect of resolving stress level on slip system and temperature.Typical curve shape obtained by the present approach was calculated with a wide range of temperatures and loads in different orientations to demonstrate the validity of the proposed model.