Let Ω represent a two−dimensional isotropic elastic body. We consider the problem of determining the body force F whose form φ(t)(f1(x), f2(x)) with φ be given inexactly. The problem is nonlinear and ill-posed. Using the Fourier transform, the methods of Tikhonov’s regularization and truncated integration, we construct a regularized solution from the data given inexactly and derive the explicitly error estimate. MSC 2000: 35L20, 35R30, 42B10, 70F07, 74B05.