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The paper presents an iterative procedure for the time domain deconvolution in nonlinear elastoplastic materials. The approach is intended for the generation of input motions for dynamic soil–structure interaction (DSSI) numerical analyses when the desired earthquake is specified at the surface of a nonlinear soil deposit. The main advantage is that the same constitutive model (or models) to be used in the DSSI simulation to characterise the soil deposit is also employed in the deconvolution procedure. Therefore, the desired surface motion is recovered from the free-field propagation of the resulting input motion at the base of the numerical model, accounting for the assumed constitutive behaviour of the ground. An application example is also presented, where the potential of the proposed approach is shown. • A procedure for the time domain deconvolution in nonlinear materials is presented. • Is intended for the generation of input motions for DSSI numerical analyses. • The desired surface motion is successfully recovered from the resulting input motion. • An example is presented demonstrating the potential of the proposed approach. [ABSTRACT FROM AUTHOR]