The quantum dot size dependence of spin lifetimes and fine structure are studied by polarization-resolved photoluminescence experiments on InAlAs self-assembled quantum dots. Hanle measurements reveal that the dots dimensions influence the scaled spin lifetime (\(\mathrm {g}_{\mathrm {x}}^{\mathrm {e}}\mathrm {T}_{\mathrm {s}}\)) and the transverse Lande-g factor (\(\mathrm {g}_{\mathrm {x}}^{\mathrm {e}})\) increases with decreasing dots dimensions. Under magnetic field applied in Faraday geometry, we study the anisotropic exchange splitting of bright exciton states as a function of energy emission (QDs size).The fine structure splitting (FSS)\(\thinspace \hslash \omega _{exc}\) increases from 12 to as much as 15 μeV with quantum dots energy emission.