We experimentally observe nonlinear spin polarization in metallic bilayers of platinum and permalloy by means of spin-torque ferromagnetic resonance (ST-FMR) with the spin-Hall effects. The ST-FMR results under massive dc current injection contain striking features, which are not caused by extrinsic Joule heating, but by intrinsic nonlinear spin polarization. The emergence of nonlinear spin polarization is consistent with observation of unidirectional spin-Hall magnetoresistance due to magnon generation/annihilation. Moreover, the magnon generation (annihilation) leads to effective magnetization shrinkage (expansion) revealed by the ST-FMR measurements. The present study paves a way to spin-Hall effect based nonlinear spintronic devices as well as 6th-generation mobile communication light sources.