This paper presents the Slovak Autistic and Non-Autistic Child Speech Corpus, which consists of audio-recordings and transcripts of collaborative, task-oriented conversations between children (with or without autism spectrum disorder, ASD) and a non-autistic adult experimenter. The task used to elicit this corpus was the Maps task. This corpus was primarily recorded to investigate lexical alignment, but can also be used to study other conversation coordination strategies and behaviours. Scores on various standardised psychometric tests, such as those measuring IQ, executive functioning, and theory of mind, are included for each participant. In total, the corpus contains over 15 hours of speech. This relatively large database contains a non-Germanic language and can be shared with any qualified researcher, making it a valuable resource for replication of existing findings regarding communication and ASD as well as future research into communication between individuals with and without ASD.