A giant negative magnetoresistance has been observed in bulk germanium dope
d with multiply charged deep impurities. Applying a magnetic field the resi
stance may decrease exponentially at any orientation of the field. A drop o
f the resistance as much as about 10 000% has been measured at 6 T. The eff
ect is attributed to the spin splitting of impurity ground state with a ver
y large g factor in the order of several tens depending on impurity.