The propagation of linear and nonlinear transverse off-plane dust lattice waves in 2D hexagonal dusty plasma crystals including the paramagnetic effects (magnetized particles) is investigated theoretically. The linear dispersion characteristics of transverse dust lattice waves are studied, including the dispersion relations, group velocities, and an evolution equation for the modulated amplitude of the first harmonic. The dispersion relations show a negative group velocity of the wave for a weak paramagnetic effect and a positive group velocity for a strong paramagnetic effect. The modulated wave packet is described by a nonlinear Schrodinger equation. The modulational stability of carrier wave depends on the form of the electric field, the magnetic field, and the magnetic permeability of dust particles. We found that the wave is modulationally unstable for long wavelength limit and weak (or zero) paramagnetic effects.
