We report a neutron diffraction study of the magnetic phase transitions in
the charge-density-wave (CDW) TbTe3 compound. We discover that in the
paramagnetic phase there are strong 2D-like magnetic correlations, consistent
with the pronounced anisotropy of the chemical structure. A long-range
incommensurate magnetic order emerges in TbTe3 at Tmag1 = 5.78 K as a
result of continuous phase transitions. We observe that near the temperature
Tmag1 the magnetic Bragg peaks appear around the position (0,0,0.24) (or
its rational multiples), that is fairly close to the propagation vector
(0,0,0.29) associated with the CDW phase transition in TbTe3. This
suggests that correlations leading to the long-range magnetic order in TbTe3
are linked to the modulations that occur in the CDW state