The modern state of the theory of business processes is analyzed, its main directions are classified. The problem of parallelism in business processes is analyzed, and classes of parallel business processes are identified and analyzed. Requirements for business process modeling languages are formulated. As the basis of the conceptual model of the parallel business process modeling language, we propose a model of DFD technology that integrates structural models of various purposes based on a DFD diagram, and allows you to reflect the functional, informational, and behavioral aspects of the simulated object. The article also analyzes the syntax, semantic and pragmatic aspects of the in-troduced modeling language. For a formal description of the syntax, it is pro-posed to use the apparatus of mixed grammars, which are a combination of graph and normal grammars. The article describes the grammar that generates the simplest dialect of DFD technology, informally describes the semantic aspects of the language, in particular the semantics of relations between objects of the language.