We show that crystals of molecular nanomagnets can exhibit giant magnetic relaxation due to the Dicke superradiance of electromagnetic waves. Rigorous treatment of the superradiance induced by a field pulse is presented.PACS numbers: 75.50. Xx, 42.50.Fx High-spin molecular nanomagnets, such as spin-10 Mn 12 and Fe 8 , represent the boundary between classical and quantum physics. On one hand, they exhibit pronounced magnetic hysteresis, as classical magnets do. On the other hand, the very same magnetization curve reveals quantum nature of spin [1]. These unique properties of molecular nanomagnets are consequence of long-living metastable spin states [2] due to the large value of spin and high energy barriers. The lifetime of these states is believed to be dominated by spin-phonon processes [3,4] and by quantum spin tunneling [5,6,7,8]. The latter, for a field-sweep experiment, has been successfully described in terms of single-molecule Landau-Zener (LZ) transitions [9,10,11,12,13,14,15,16].Recent ESR experiments [17,18,19,20,21] have demonstrated noticeable resonant absorption of electromagnetic radiation by molecular magnets. In this Letter we show that crystals of magnetic molecules can also be a powerful source of coherent electromagnetic radiation. At low fields, the magnetic relaxation of molecular nanomagnets may be affected by the distribution of energy levels due to dipolar fields [22], nuclear spins [22,23], and crystal defects [13]. Here we will study the case when the resonant tunneling of the spin of individual molecules is dominated by the large external magnetic field (or by a large transverse anisitropy). We will be interested in relaxation between the tunnel-splitted ground states of magnetic molecules on the two sides of the barrier which has two specific features. Firstly, the change of the projection of the spin on the symmetry axis, S z , is of order S ≫ 1 and the coupling with the light is increased by a factor of S in comparison with the usual processes in which S z changes by one. Secondly, phonon relaxation processes between these states appear only at high orders of the perturbation theory and are strongly suppressed [24] hence electromagnetic relaxation will prevail.One might think that the individual relaxation of molecules is always a good approximation. Note, however, that in molecular nanomagnets the wavelength λ of the electromagnetic radiation due to transitions between spin levels is typically greater than the dimensions of the crystal L. Consequently, the molecules can coherently interact through the electromagnetic radiation that they are emitting, thus greatly enhancing its intensity [25].