Dispersion-strengthened (DS) and precipitation-hardened (PH) copper-based alloys are suggested to be used for energy-strained components in the ITER discharge chambers. But, the stability of their properties remains still uncertain. It is evident, that of critical importance here is the stability of the composition and the morphology of disperse particles under irradiation. Also of importance is the coherent or noncoherent character of the impurity particle bonding with the lattice. In this work the impact of the size and density of fine inclusions into the matrix on the material yield strength for the DS alloys CuMo and MAGT-0.2 was analyzed. The particle density is shown to be crucial in strengthening. At the same time the bonding of particles with the matrix is of minor importance.