The topology of the Fermi surface controls the electronic response of a metal, including charge density wave (CDW) formation. A topology conducive for Fermi surface nesting (FSN) allows the electronic susceptibility χ₀ to diverge and induce a CDW at wave vector q_CDW . Kohn extended the implications of FSN to show that the imaginary part of the lattice dynamical susceptibility χ″_L also responds anomalously for all phonon branches at q_CDW—a phenomenon referred to as the Kohn anomaly. However, materials exhibiting multiple Kohn anomalies remain rare. Using first-principles simulations of χ₀ and χ″_L , and previous scattering measurements [Crummett et al. , Phys. Rev. B 19 , 6028 234 (1979)], we show that α-uranium harbors multiple Kohn anomalies enabled by the combined effect of FSN and "hidden" nesting, i.e., nesting of electronic states above and below the Fermi surface. FSN and hidden nesting lead to a ridgelike feature in the real part of χ₀, allowing interatomic forces to modulate strongly and multiple Kohn anomalies to emerge. These results emphasize the importance of hidden nesting in controlling χ₀ and χ″_L to exploit electronic and lattice states and enable engineering of  advanced materials, including topological Weyl semimetals and superconductors.