  We introduce solitons supported by Bessel photonic lattices in cubic
nonlinear media. We show that the cylindrical geometry of the lattice, with
several concentric rings, affords unique soliton properties and dynamics. In
particular, besides the lowest-order solitons trapped in the center of the
lattice, we find soliton families trapped at different lattice rings. Such
solitons can be set into controlled rotation inside each ring, thus featuring
novel types of in-ring and inter-ring soliton interactions.
