In this paper, a first asimptotic approximations solutions for four-frequency regime a forced vibrations of thin elastic shell is composed, with a initial deformities into nonlinear conditions, when the frequencies of the force are into resonant intervals of the first four own vibrations undisturbed vibrations of the shell. The expressions for the tension function and movement under the conditions of the four-frequency forced nonlinear vibrations, and also an approximations for amplitudes and phases of the promted harmonics was derived. By means this derived systems of the differencial equations of the first approximations and phases the analysis of a mutual influences of the harmonics, and also the comparison with the linear regime, was performed. The conclusions on mutual influence between harmonics in function of consequences of initial deformities of the shell, was derived.