Title: WF-holonomicity of constructible distributions on non- Archimedean local fields. Abstract: Half a century ago J. Bernstein defined a class of distributions on a real manifold that is closed under various operations including Fourier transform. Distributions in this class possess some very strong (local) analytic properties. I will recall these results and present some recent analogs of them in the non-Archimedean (p-adic) case.