A different technique for narrowing of Mössbauer resonances in crystals is suggested. Similar to highresolution nuclear magnetic resonance spectroscopy, it uses a combined action of a continuous wave radiofrequency field and a dc magnetic field under a "magic-angle" condition. However, the condition itself is essentially different from the one known previously. Moreover, this technique suppresses the contribution of the dipole-dipole interaction to the energy of Mössbauer transition only ͑it does not suppress the contribution of the dipole-dipole interaction to the energy of individual levels͒. It works rather well even in the case of relatively strong dipole-dipole interaction.