Abstract: The objective of this work tries to answer the question, in what the reinforcement learning applied to fuzzy logic can be of interest in the field of the reactive navigation of a mobile robot. In the first instance we have established an algorithm applying the reinforcement learning to fuzzy limited lexicon. We have applied it to a robot for the training of the follow-up of a rectilinear trajectory of a starting point "D" at a point of unspecified arrival "A", while avoiding with the robot butting against a possible obstacle.