We prove that the non-radial sign-changing solutions to the nonlinear Schrödinger equation ∆u − u + |u|p−1u = 0 in RN, u ∈ H1 (RN) constructed by Musso, Pacard, and Wei [16] are non-degenerate. This provides the first example of a non-degenerate sign-changing solution to the above nonlinear Schrödinger equation with finite energy.