It is known from many theoretical studies that ecological chaos may have numerous significant impacts on the population and community dynamics. Therefore, identification of the factors potentially enhancing or suppressing chaos is a challenging problem. In this paper, we show that chaos can be enhanced by the Allee effect. More specifically, we show by means of computer simulations that in a time–continuous predator–prey system with the Allee effect the temporal population oscillations can become chaotic even when the spatial distribution of the species remains regular. By contrast, in a similar system without the Allee effect, regular species distribution corresponds to periodic/quasi–periodic oscillations. We investigate the routes to chaos and show that in the spatially regular predator–prey system with the Allee effect, chaos appears as a result of series of period–doubling bifurcations. We also show that this system exhibits period–locking behaviour: a small variation of parameters can lead to alternating regular and chaotic dynamics.