We have obtained low-resolution optical spectropolarimetry of SN 1993J
which shows a high continuum linear polarization and a 0.5% drop in p
olarization across the Halpha emission line accompanied by a approxima
tely 15-degrees position angle rotation. From these data we infer the
presence of two distinct polarization components and conclude that at
least part of the polarization is intrinsic to the supernova. We propo
se that the polarization observed at Halpha is due to interstellar pol
arization within NGC 3031, while the continuum polarization is intrins
ic to the object. After correcting the observed Stokes parameters for
interstellar polarization, we find that the intrinsic continuum polari
zation is high, P = 1.6% +/- 0.1% at 0 = 49-degrees +/- 3-degrees, and
is wavelength-independent. The Stokes flux displays blueshifted Halph
a absorption which suggests that the polarization is generated primari
ly in the underlying continuum source. Comparing our results to the sc
attering photosphere models of Shapiro & Sutherland we find that to pr
oduce the continuum polarization the ratio between the semimajor and s
emiminor axes of the scattering envelope must be greater-than-or-equal
-to 1.54 for the oblate case, and greater-than-or-equal-to 2.0 for the
prolate case. We also consider the point-source scattering envelope m
odels of Brown & McLean, and find that for an oblate scattering envelo
pe the models require that the inclination be close to edge-on unless
the asymmetry is extreme. On the other hand, the prolate case can prod
uce high polarization for a wide range of inclination angles.