We show that the observed transition from rock salt to orthorhombic P-nma s
ymmetry in CrN can be understood in terms of stress anisotropy. Using Local
spin density functional theory, we find that the imbalance between stress
stored in spin-paired and spin-unpaired Cr nearest neighbors causes the roc
k-salt structure to be unstable against distortions and justifies the obser
ved antiferromagnetic ordering. This stress has a purely magnetic origin an
d may be important in any system where the coupling between spin ordering a
nd structure is strong.