The first observation of spatiotemporal self-focusing of spin waves is reported. The experimental results are obtained for dipolar spin waves in yttrium-iron-garnet films by means of a newly developed space-and time-resolved Brillouin light scattering technique. They demonstrate self-focusing of a moving wave pulse in two spatial dimensions, and formation of localized two-dimensional wave packets, the collapse of which is stopped by dissipation. Nonlinear self-focusing of wave beams and pulses is an important phenomenon in physics because it provides a mechanism for localization of wave energy in a small spatial region [1]. In a simple model based on the nonlinear Schrödinger equation with two or three spatial dimensions, self-focusing for certain initial conditions leads to the collapse of the initial wave packet, when the packet amplitude becomes infinite in a finite time [2]. In real physical experiments singularity is, of course, avoided, and the process of collapse is stopped by saturation of nonlinearity and/or by dissipation. The effects of strong self-focusing and of wave collapse have been observed thus far for light waves in nonlinear optics [3], and for nonlinear Langmuir waves in a plasma [4]. The possibility of "light bullets," i.e., stable optical wave pulses strongly localized in space and time by self-focusing, which is stabilized by saturation of nonlinearity at high wave amplitudes, has been suggested by Silberberg [5]. There exists, however, no experimental evidence for this effect in optics, likely because, in optical fibers, diffraction is much stronger than dispersion, and, therefore, both effects cannot be observed simultaneously.In this Letter we report the first experimental observation of spatiotemporal self-focusing of dipolar spin waves and formation of strongly localized two-dimensional wave packets (spin wave bullets) propagating in yttrium-irongarnet (YIG) films. Here the diffraction to dispersion ratio is much smaller than in optical fibers, which makes it possible to observe a simultaneous self-focusing of a propagating spin wave packet along both in-plane directions. The "spin wave bullets" in our experiments are formed as a result of a spatiotemporal self-focusing, similar to the self-focusing effect described in Ref.[5], as our two-dimensional input spin wave packets are self-focused along both in-plane directions (y and z), while propagating along one of them (z). We note, however, that selffocusing of dipolar spin waves in YIG films is stabilized by dissipation, rather than by saturation of nonlinearity, as was suggested for light bullets in Ref. [5].It is well-known [6,7], that, in the absence of dissipation, two-dimensional self-focusing of an input wave packet leads to a packet collapse only if the packet amplitude is sufficiently large for nonlinearity to overcome the effects of diffraction and dispersion. Thus, the twodimensional collapse is critical; i.e., it has an amplitude threshold even in a dissipationless medium.In the presence of dissipation, the amplitude of a ...