  We observed the first unidentified TeV gamma-ray source TeV J2032+4130 with
Suzaku. Owing to Suzaku's high sensitivity for detection of diffuse X-ray
emission, we found two small structures in the TeV emitting region. One of them
is coincident with a gamma-ray pulsar PSR J2032+4127, which was discovered by
the Fermi Gamma-ray Space Telescope. By subtracting contribution of point
sources estimated by Chandra data, we obtained diffuse X-ray spectrum. The
X-ray spectrum can be reproduced by a power-law model with a photon index of
about 2, and an X-ray flux of 2x10^{-13} erg s^-1 cm^-2. The ratio of the
gamma-ray flux to the X-ray flux is about 10. If the origin of the TeV
gamma-ray is inverse Compton scattering of microwave background by high energy
electrons, the ratio corresponds to the magnetic field strength of ~1 microG.
However, the smaller size of the X-ray emission than that of the TeV emission
suggests that energy loss of the electrons can explain the large ratio of the
gamma-ray flux with a reasonable magnetic field strength of a few microG.
