  To violate Kirchhoff s law is very important in the areas of thermal
radiation. However, due to the weak nonreciprocity in natural materials, it is
necessary to engineer novel structures to break the balance between emission
and absorption. In this work, we introduce magneto-optical material into
Fibonacci photonic crystals. Assisted by the nonreciprocity of the
magneto-optical material and the excitation of Tamm plasmon polaritons, strong
nonreciprocal thermal radiation can be realized. The difference between
absorption and emission at wavelength of 16 {\mu}m can reach 0.9 at the
incident angle of 60o. The distributions of the magnetic field are also
calculated to verify the underlying physical origin. By engineering the
parameters of the structure, it is found that strong nonreciprocal thermal
radiation can be achieved at shorter wavelength and smaller incident angle. The
results indicate that the Fibonacci magnetophotonic crystals are the promising
candidate to engineer the nonreciprocal emission for various requirements.
