We present J-band spectropolarimetry of NGC 1068. We observe polarized broa
d Pa beta and, for the first time, polarized broad Pa gamma and He I. Assum
ing electron scattering as the polarization mechanism, the polarized broad
lines suffer little or no extinction. All the polarized broad lines are red
shifted with respect to the narrow lines, attributed to an outflow velocity
for the scatterers of 900 +/- 200 km s(-1).