Combining Dual Reciprocity Method (DRM) with Hybrid Bòundary Node Method(HBNM),the Dual Reciprocity Hybrid Boundary Node Method (DRHBNM) is developed for three-dimensional linear elasticity problems with body force.This method can be used to solve the elasticity problems with body force without domain integral,which is inevitable by HBNM.To demonstrate the versatility and the fast convergence of this method,some numerical examples of 3-D elasticity problems with body forces are examined.The computational results show that the present method is effective and can be widely applied in solving practical engineering problems.