The strain distributions of Au, Cu, Pt and Co nanoparticles embedded in Lu2O3 matrix were investigated by the finiteelement calculations. The simulation results indicated that all of metal nanoparticles incure compressive stress by the Lu2O3 matrix, which thus result in the corresponding strain in the center and at the surface of nanoparticles. The strain distributions are closely related to the Young's modulus and poisson's ratio of metal nanoparticles and matrix. For the metal nanoparticle with bigger Young′s modulus,the difference between the strain in the center and that at the surface of the nanoparticles is largerer. While, for the metal nanoparticle with smaller Young's modulus, the difference between the strainat the surface and that in the center of the nanoparticles is smaller. Meanwhile, with the growth of metal nanoparticles, the deviator strain also increase. This net deviatoric strain distribution may also have a significant influence on the morphology and microstructure of metalnanoparticles, and thus the physical properties of metal nanoparticles.