  In this article we establish the relationship between fermionic T-duality and
momenta noncommuativity. This is extension of known relation between bosonic
T-duality and coordinate noncommutativity. The case of open string propagating
in background of the type IIB superstring theory has been considered. We
perform T-duality with respect to the fermionic variables instead to the
bosonic ones. We also choose Dirichlet boundary conditions at the string
endpoints, which lead to the momenta noncommutativity, instead Neumann ones
which lead to the coordinates noncommutativity. Finally, we establish the main
result of the article that momenta noncommutativity parameters are just
fermionic T-dual fields.
