A consistent theoretical approach is suggested for the description of deep inelastic scattering of polarized leptons off polarized deuterons within the operator product expansion method and an effective meson-nucleon theory. Our approach describes fairly well recent deuteron experimental data on the spin structure function g_1(x). (orig.)Available from TIB Hannover: RR 1847(93-22) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman