This paper presents an approach for automatic synthesis of software models. Software models are increasingly being used for representing software applications at a high abstraction level, and source code can usually be generated from these models. Creating application models can be a tedious task, and thus the presented approach automates this task. Based on a formal definition of the domain-specific language (DSL) and user-defined properties, we generate intended application models. These models can then be subject to further manual extensions or used as is. The approach is illustrated by a DSL from the train domain, and the automatic synthesis of train station models.