We present the results of the first study of polarized submillimetre e
mission from the Sgr B2 giant molecular cloud. Detections were obtaine
d for six out of 10 positions studied, with percentage polarizations o
f 0.8-2.6 per cent. For five of the positions, the polarization vector
s are aligned at an angle close to 15-degrees east of north, indicatin
g a global magnetic field oriented approximately east-west. This direc
tion is perpendicular to the long axis of the cloud, suggesting infall
of material primarily down the field lines, in agreement with theoret
ical models. A polarization 'hole' is found towards two high-mass embe
dded objects, as has previously been observed in other molecular cloud
s; the most likely explanation for Sgr B2 is a change in field directi
on in the cores away from the plane of the sky.