In this paper, the renormalized turbulence theory for the lowfrequency magnetic field and the ion acoustic wave in the high temperature plasma is developed in order to improve the usual weak nonlinear-approach. From Vlasov-Maxwell equations, the coupled renormalized equations of the high and low frequency propagator, with the "most divergence" and "secondary divergence" effects included, are derived in the Fourier representation. Thus, we obtain the coupled relation of the renormalized par-tical distribution function and field for high and low-frequency oscillation.Under "most divergence" renormalization approximation, the propagator equations for high and low-frequency are solved. Expanding to the order of v4—the ratio of the energy density of the high-frequency turbulence field to the thermal energy density of the plasma particle, the approximate solutions for the propagator and the expressions for the renormalized dielectric function are obtained. Then, by performing Fourier inverse transformation, the renormalized strong turbulence equations are derived in the spacetime representation.Finally, as an example which shows the renormalized effects, under onedimensional and stationary approximation, the analytical form for the soliton is solved.