i will talk about a recent work jointly with tian on kaehler-ricci flow on fano g-manifolds. we prove that on a fano g-manifold, the gromov-hausdorff limit of kaehler-ricci flow with initial metric in $2\pi c_1(m)$ must be a q-fano horosymmetric variety which admits a singular keahler-ricci soliton. moreover, we show that the complex structure of limit variety can be induced by $c^*$-degeneration via the soliton vector field. a similar result can be also proved for kaehler-ricci flows on any fano horosymmetric manifolds.