We present in this paper the first example of chaotic evolutionary dynamics in biology. We consider aLotkaVolterra tritrophic food chain composed of a resource, its  consumer, and a predator species, each characterized by a single adaptive phenotypic trait, and we show that for suitable modeling and parameter choices the  evolutionary trajectories approach a strange attractor in the three-dimensional trait space. The study is performed through the bifurcation analysis of the so-called  canonical equation of Adaptive Dynamics, the most appropriate modeling approach to long-term evolutioary dynamics.