polar configurations in ordinary ferroelectric insulators have been discovered in a number of low-dimensional ferroelectric nanostructures. [4-6] In the 1960s, Anderson and Blount [7] proposed the concept of "ferroelectric metal", which offers exciting opportunities for exploring exotic phases and emergent phenomena in materials, for example, antisymmetric spin-orbit interactions in superconductors and ultrahigh magnetoresistance. [8,9] In recent years, a number of ordinary ferroelectric metals have been unveiled one after another. [10-12] However, topological ferroelectric metal has never been reported so far. It is known that ferroelectric materials have polar point groups and exhibit bistable polarity along the unique polar axes. [13,14] In contrast, noncentrosymmetric (chiral and nonpolar) point groups allow for the presence of multiple local polar axes, which may facilitate the construction of topological order of polarity. [15] A number of electrocatalytic transition metal compounds, for example, WP 2 (Space group Cmc2 1) [9] and Ni 2 P (P62m), [16-18] aroused our great curiosity because of their coexisting structural non-centrosymmetry with metallicity and the assignable non-unique valence states that relate to their nontrivial stoichiometry. Here, by focusing on electron-lattice-polarity correlations in Ni 2 P, our Ferroelectric metals-with coexisting ferroelectricity and structural asymmetry-challenge traditional perceptions because free electrons screen electrostatic forces between ions, the driving force of breaking the spatial inversion symmetry. Despite ferroelectric metals having been unveiled one after another, topologically switchable polar objects with metallicity have never been identified so far. Here, the discovery of real-space topological ferroelectricity in metallic and non-centrosymmetric Ni 2 P is reported. Protected by the rotation-inversion symmetry operation, it is found that the balanced polarity of alternately stacked polyhedra couples intimately with elemental valence states, which are verified using quantitative electron energy-loss spectroscopy. First-principles calculations reveal that an applied in-plane compressive strain creates a tunable bilinear double-well potential and reverses the polyhedral polarity on a unit-cell scale. The dual roles of nickel cations, including polar displacement inside polyhedral cages and a 3D bonding network, facilitate the coexistence of topological polarity with metallicity. In addition, the switchable in-plane polyhedral polarity gives rise to a spin-orbit-coupling-induced spin texture with large momentumdependent spin splitting. These findings point out a new direction for exploring valence-polarity-spin correlative interactions via topological ferroelectricity in metallic systems with structural asymmetry. Topological states of matter, such as topological insulators, [1] Weyl semimetals, [2] and magnetic skyrmions, [3] have attracted tremendous attention for their intriguing physical properties and promising applications in spintronic, energy ...