  We present the gluon generalized TMDs for non-zero skewness and Wigner
distributions in the boost invariant longitudinal space. The boost-invariant
longitudinal space is defined as $\sigma=\frac{1}{2}b^-\Delta^+$ and is
conjugate to the skewness variable $\xi$. We use the dressed quark model, where
a high-energetic quark is dressed by a gluon. This two-particle system has the
advantage of addressing both the gluon and the quark sectors. The different
contributions in Wigner distributions coming from different polarization of
gluon and the dressed quark system are investigated. The Wigner distributions
are obtained by taking the Fourier transformation of generalized TMDs, which we
derive for the first time for non-zero skewness in dressed quark model.
