We investigate the spin 1/2 fermions on quantum two spheres. It is shown
that the wave functions of fermions and a Dirac Operator on quantum two spheres
can be constructed in a manifestly covariant way under the quantum group
SU(2)q​. The concept of total angular momentum and chirality can be expressed
by using q-analog of Pauli-matrices and appropriate commutation relations.Comment: 11 page