There are described the disorders in development of communicative aspect of speech of children with autism spectrum disorders. There are represented the groups of communicative skills, described their peculiarities in speech of children suffering from autism. There are given the results of the empiric research directed at studying the level of development of each group of communicative skills of children with autism spectrum disorders. There is revealed the stage-by-stage process directed at formation of the represented groups of communicative skills in the conditions of rehabilitation centre for disabled children and teenagers.