Based on the magnetohydrodynamic energy principle, it is proved that Gold-H
oyle's nonlinear force-free magnetic held is unstable. This disproves the s
ufficient criterion for stability of nonlinear force-free magnetic fields g
iven by Kruger that a nonlinear force-free field is stable if the maximum a
bsolute value of the force-free factor is smaller than the lowest eigenvalu
e associated with the domain of interest.