Abstract: In this paper, the analytical solutions for the deformation-damage fields in creeping solids considering the damage effect are investigated. Three new solutions forfollowing topics have been deduced :(1) The deformation-damage fields for damaged medium with exponential creeping law under small damage condition; (2) Near crack-tip fields in damaged materials with power creeping law under severe damage conditions; (3) The stress-strain-damage fields of the coupling creep-damage problem of circular cylinder under torsional loading. All of the three new solutions have been expressed in closed form.