  We define and analyse the $k$-directional short-time Fourier transform and
its synthesis operator over Gelfand Shilov spaces $\mathcal
S^\alpha_{\beta}(\mathbb R^n)$ and $\mathcal S^\alpha_{\beta}(\mathbb R^{k+n})$
respectively, and their duals. Also, we investigate directional regular sets
and their complements - directional wave fronts, for elements of $\mathcal
S^{\prime \alpha}_{\alpha}(\mathbb R^n)$.
