Based　on　the　pseudo-rigid-body　model　(PRBM),　a　2R　PRBM　that　consists　of　three　rigid　links　joined　by　two　revolute　joints　and　two　torsion　springs　is　proposed　in　this　study.　A　method　of　parametric　approximation　to　the　deflection　path　and　deflection　angle　of　a　flexural　beam　is　developed　for　the　2R　PRBM.　A　two-dimensional　optimization　for　the　characteristic　radius　factors　and　a　linear　regression　for　the　spring　stiffness　coefficient　are　presented.　Although　the　model　parameters　are　dependent　on　the　loading　conditions,　the　2R　PRBM　is　useful　in　increasing　the　modeling　accuracy　of　the　1R　PRBM　and　reducing　the　computation　time　of　the　3R　PRBM.　The　advantage　of　the　new　model　is　also　illustrated　through　a　comparison　of　deformation　energies　among　the　various　kinds　of　PRBM　and　the　flexural　beam.　An　application　example　of　compliant　mechanism　is　presented　using　the　2R　PRBM.　The　2R　PRBM　is　significant　to　expand　the　applications　of　pseudo-rigid-body　model　in　the　analysis　and　design　of　compliant　mechanisms,　particularly　in　the　further　study　on　the　dynamics　of　compliant　mechanisms.　(C)　2012　Elsevier　Ltd.　All　rights　reserved.