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In this paper, we study a few versions of the uncertainty principle for the short‐time Fourier transform on the latticeZ  n   ×   T  n    $\mathbb {Z}^n \times \mathbb {T}^n$   . In particular, we establish the uncertainty principle for orthonormal sequences, Donoho–Stark's uncertainty principle, Benedicks‐type uncertainty principle, Heisenberg‐type uncertainty principle, and local uncertainty inequality for this transform onZ  n   ×   T  n    $\mathbb {Z}^n \times \mathbb {T}^n$   . Also, we obtain the Heisenberg‐type uncertainty inequality using the    k  $k$   ‐entropy of the short‐time Fourier transform onZ  n   ×   T  n    $\mathbb {Z}^n \times \mathbb {T}^n$   .

Uncertainty principles for the short‐time Fourier transform on the lattice