This paper presents a system for multi-label classification of text data processed in Call/Contact Centre (CC) systems. The solution presented herein constitutes a significant innovation and an advantage in relation to the solutions used so far in CC systems, as the contents can be automatically routed directly to even several agents with different competences (depending on the number of classes recognised in the message). The proposed approach combines a set of vectorisation methods, dimensionality reduction methods, and a classifier based on artificial neural networks. Analyses were performed using data from real databases of a large commercial CC system and data extracted from the publicly available Stackoverflow database to evaluate the effectiveness of the developed classification method. The proposed approach was compared with the existing text data classification methods. The method enables classification of text messages belonging to one or more classes and can be used to automatically route contents to agents with appropriate competences.