Influence of a magnetic field on dislocation paths in crystals with paramag
netic obstacles is studied. The model incorporates, as the most important a
spect, a dependence of the energy of dislocation-obstacle bonds on their sp
in multiplicity. An increase of the crystal plasticity in a magnetic field
is explained by an increased population of high spin states with lower bind
ing energy. The dependence of the average dislocation path length on the ma
gnetic field accounting also for the hyperfine interaction between electron
and nucleus spins is obtained. The theory agrees well with the available e
xperimental data in a wide range of magnetic fields. The hyperfine interact
ion is shown to play a crucial role, especially at relatively low magnetic
fields. The possible dependence of plastic properties of crystals on the va
lue of nuclear spin may lead to a magnetic isotope effect in plasticity. Th
e hyperfine interaction may effectively suppress the contribution of parama
gnetic obstacles in the magnetoplastic effect if the external magnetic fiel
d is smaller than a certain value that is specific for each particular type
of the obstacle.