  Theoretical analysis and observational evidences indicate that a brown dwarf
with effective temperature greater than 1400 K would have dust cloud in its
atmosphere. In this letter, we show that dust scattering should yield polarized
continuum radiation from the relatively warm brown dwarfs and the polarized
flux profile could be a potential diagnosis tool for the optical and the
physical properties of dust grains. The degree of polarization due to multiple
scattering will be more in the optical region if the particle size is small
while significant polarization should be detected in the infra-red region if
the particle size is large. It is pointed out that the departure from
sphericity in the shape of the object due to rapid rotation and due to tidal
effect by the companion in a binary system ensures the disc integrated
polarization to be non-zero.
