We initiate a program to generalize the standard eikonal approximation to compute amplitudes in Anti-de Sitter spacetimes. Inspired by the shock wave derivation of the eikonal amplitude in flat space, we study the two-point function Script E∼⟨ Script O 1 Script O 1⟩ shock in the presence of a shock wave in Anti-de Sitter, where Script O 1 is a scalar primary operator in the dual conformal field theory. At tree level in the gravitational coupling, we relate the shock two-point function Script E to the discontinuity across a kinematical branch cut of the conformal field theory four-point function Script A∼⟨ Script O 1 Script O 2 Script O 1 Script O 2⟩, where Script O 2 creates the shock geometry in Anti-de Sitter. Finally, we extend the above results by computing Script E in the presence of shock waves along the horizon of Schwarzschild BTZ black holes. This work gives new tools for the study of Planckian physics in Anti-de Sitter spacetimes.