The present invention refers to an evaporator device for volatile substances provided with a closure system that facilitates the replacement of the refill or container of the volatile substance. The invention provides a safety closure system for the evaporator device, which makes difficult for children to get access to the tablet or container of the volatile substance. A closure member and a container are associated in such a manner that during the opening movement of the closure member, at least part of the container is extracted out of the chamber.