This study pays attention to the quantitative and qualitative differences in relation to interruptions and overlaps that are produced in the oral speech of 20 subjects with Asperger syndrome and 20 with typical development. Likewise, it offers a classification for the discursive analysis of interruption making use of the cooperation and topic management principles. According to results, from a quantitative point of view, both types of turn transitions are significantly more numerous in the pathological sample, and from a qualitative perspective, interruptions are less relevant and cooperative in the same group. In short, signs about the communicative behaviour of speakers with Asperger syndrome are provided and, in consequence, the reinforcement of relevance and cooperation in their communicative exchanges is suggested.