<p>This paper analytically investigates for the first time the existence of two types of periodic traveling wave solutions in a coupled Chua’s circuit model with diffusion, employing geometric singular perturbation theory, fixed point theory, and invariant manifold theory. The first type consists of periodic traveling waves with oscillatory tails passing through the neighborhood of two saddle foci in the normally hyperbolic regime. The second type involves periodic traveling waves passing through the neighborhood of two fold lines in the normally nonhyperbolic regime, where the breakdown of normal hyperbolicity renders the standard Fenichel theory inapplicable. Under certain parameter conditions, we demonstrate the existence of infinitely many periodic traveling wave solutions for the hyperbolic regime and at least one such solution for the nonhyperbolic regime. Moreover, the corresponding wave speeds are explicitly derived using the theory of generalized rotated vector fields. Numerical simulations are provided to validate the theoretical analysis.</p>