  We predict that photonic moir\'e lattices produced by two mutually twisted
periodic sublattices in the medium with Kerr nonlinearity can support stable
three-dimensional light bullets localized in both space and time. Stability of
light bullets and their properties are tightly connected with the properties of
linear spatial eigenmodes of moir\'e lattice that undergo
localization-delocalization transition (LDT) upon increase of the depth of one
of the sublattices forming moir\'e lattice, but only for twist angles
corresponding to incommensurate, aperiodic moir\'e structures. Above LDT
threshold such incommensurate moir\'e lattices support stable light bullets
without energy threshold. In contrast, commensurate, or periodic, moir\'e
lattices arising at Pythagorean twist angles, whose eigenmodes are delocalized
Bloch waves, can support stable light bullets only above certain energy
threshold. Moir\'e lattices below LDT threshold cannot support stable light
bullets for our parameters. Our results illustrate that
periodicity/aperiodicity of the underlying lattice is a crucial factor
determining stability properties of the nonlinear three-dimensional states.
