Final draft version, accepted for publication as:Hirel, J., Gaussier, P., Quoy, M., Banquet, J.P.: Why and how hippocampal transition cells can be used in reinforcement learning. In Doncieux, S., Girard, B., Guillot, A. The original publication is available at www.springerlink.comAbstract. In this paper we present a model of reinforcement learning (RL) which can be used to solve goal-oriented navigation tasks. Our model supposes that transitions between places are learned in the hippocampus (CA pyramidal cells) and associated with information coming from path-integration. The RL neural network acts as a bias on these transitions to perform action selection. RL originates in the basal ganglia and matches observations of reward-based activity in dopaminergic neurons. Experiments were conducted in a simulated environment. We show that our model using transitions and inspired by Q-learning performs more efficiently than traditional actor-critic models of the basal ganglia based on temporal difference (TD) learning and using static states.