  In this paper, we mainly consider the stability of $ \Phi_{S, F,H} $ harmonic
map and $ \Phi_{T,F,H} $ harmonic map from or into $ \Phi $-SSU manifold. We
mainly consider the stability of $ \Phi_{S, F,H} $ harmonic map and $
\Phi_{T,F,H} $ harmonic map from or into compact convex hypersurface. We also
give some Theorems to know when a manifold is $ \Phi_{S, F,H} $ -stable or $
\Phi_{S, F,H} $ -unstable.
