  Anisotropic inflation is a model succeeded in explaining statistical
anisotropy. Warm inflation is a model succeeded in providing a mechanism of
reheating during inflation. We study anisotropic warm inflation focusing on the
cosmic no-hair conjecture. In the anisotropic warm inflation, the condition for
making anisotropy survived is clarified. By assuming a constant value for the
dissipation ratio, we find exact solutions of power-law anisotropic warm
inflation, and investigate the phase space structure of general solutions. It
turns out that whether the anisotropy during inflation survives or not depends
on the competition of the potential that drive anisotropic inflation against
dissipation of an inflaton field. Anisotropic warm inflation will be realized
if the decaying process is not efficient.
