We have investigated the structural properties of multi-stacked layers of self-organized In 0.4 Ga 0.6 As quantum dots (QDs) embedded with GaN 0.007 As 0.993 strain compensation layers (SCLs) grown on GaAs (311)B substrate by atomic hydrogen-assisted molecular beam epitaxy. Symmetrical lens-shaped QDs are observed along [011¯], while their shape is asymmetric along [2¯33] with two different dominant facets. Further, QDs are vertically aligned in the growth direction when viewed along [011¯], while the alignment is inclined at an angle of 22° with respect to the growth direction when viewed along [2¯33]. The inclination angle is in good agreement with the result of resonant diffuse X-ray scattering sheets in reciprocal space mapping around GaAs (311) lattice point. We believe that the local strain field around QD extends further outward from the lower-angle facet, thereby the vertical alignment is tilted along the direction of stronger strain field.