We showcase IDEA, an Interactive DialoguE trAnslation system using Furhat robots, whose novel contributions are: (i) it is a web service-based application combining translation service, speech recognition service and speech synthesis service; (ii) it is a task-oriented hybrid machine translation system combining statistical and neural machine learning methods for domain-specific named entity (NE) recognition and translation; and (iii) it provides user-friendly interactive interface using Furhat robot with speech input, output, head movement and facial emotions. IDEA is a case-study demo which can efficiently and accurately assist customers and agents in different languages to reach an agreement in a dialogue for the hotel booking.