Autism spectrum disorders (ASD) are a heterogeneous group of disorders affecting virtually every population, regardless of their ethnic or socioeconomic background. Their pathogenesis is multifactorial, based on interactions between genetic and environmental factors. The key symptom of ASD are deficits in social communication, which are the basis of many difficulties in everyday functioning. The aim of the presented study was to analyze the clinical picture of social cognition deficits in boys with autism spectrum disorders and to relate its elements with the frequency of alleles of selected polymorphisms within the oxytocin receptor (OXTR) and vasopressin receptor 1A (AVPR1A) genes. The study included 58 boys with IQ > 90, who were divided into two groups based on a confirmed or excluded ASD diagnosis based on the DSM-5 and ICD-10 criteria and then using the ADOS-2 protocol. The results indicated that polymorphism rs10877969 (T) within the AVPR1a gene was the only one to show a statistically significant association with a higher risk of autism spectrum disorders and has an impact on clinical presentation in the ADOS-2 study, primarily in terms of the social affect subscale. Polymorphisms in the OXTR gene showed no significant association with ASD risk and severity of autistic traits in the ADOS-2 study. In the group of people with ASD and those who are neurotypical, the rs53572 (A) genotype in the OXTR gene significantly increased the severity of the clinical picture of social cognition disorders in reading mind in the eyes test (RMiE) and empathy quotient (EQ) studies.