  In this article we consider simultaneous T-dualization of type II superstring
action in pure spinor formulation. Simultaneous T-dualization means that we
make T-dualization at the same time along some subset of initial coordinates
marked by $x^a$. The only imposed assumption stems from the applicability of
the Buscher T-dualization procedure - background fields do not depend on
dualized directions $x^a$. In this way we obtain the full form of the T-dual
background fields and T-dual transformation laws. Because two chiral sectors
transform differently, there are two sets of vielbeins and gamma matrices
connected by the local Lorentz transformation. Its spinorial representation is
the same as in the constant background case. We also found the full expression
for T-dual dilaton field.
