We report a first detection of polarization of the 850 mu m continuum emiss
ion from two T Tauri stars (TTSs), GM Aur and DG Tau. These are both single
and classical TTSs. The emission mostly comes from the compact (r < 100 AU
) accretion disks. The polarization (at similar to 3% level at 3 sigma) is
interpreted in terms of thermal emission by magnetically aligned dust grain
s in the disk. Thus these submillimeter polarizations probe the magnetic he
ld structure in the disk, while the previously reported millimeter/submilli
meter polarizations of protostars and the transitional objects from the pro
tostars to TTSs trace the magnetic fields in the larger envelope region. In
both TTSs, the direction of the magnetic field inferred from our submillim
eter polarizations is parallel to the plane of the compact dust disk measur
ed by interferometric observations, suggesting the dominance of a toroidal
magnetic field component in the disk. The magnetic evolution of the circums
tellar environments is discussed, as well as the constraints on the MHD mod
els of the jets and outflows from young stellar objects.