Inversion of a generalized Radon transform (GRT) of seismic type is investigated by employing the algebraic iterative methods ART and SIRT, which require discrete formulations of the reconstruction problem. To this aim, two discretization procedures are proposed: a direct discretization and a discretization via the relation of GRT with the regular Radon transform (RT). The feasibility and the semi-convergence behavior of the proposed methods are analyzed and compared by discussing the effect of noisy data.