We shall introduce the notion of the windowed Fourier transform in $mathbb{Q}_p$ and show that, for any given function $g{in}L^2(mathbb{Q}_p)$ of norm, the windowed Fourier transform of $f$ with respect to $g$ be a function of norms, and moreover be expressible to a summation form. The results obtained in this paper will be usable to the field of research in data compression for signal processing according to the following scheme.