A fuse appliance has a fuse carrier for receiving a fuse and a base. The fuse carrier is in a cavity of the base and is manually operable to remove or insert the fuse. Fixed contacts are provided on the base which engage with moving contacts provided on the carrier. Wiring terminals are electrically connected to the fixed contacts. A rotational-linear pulling operation mechanism has a semicircular rotary shaft structure that has two semicircular convex shafts and first and second circular straight grooves fitted to each other so that the fuse carrier performs rotational and linear movements relative to the base and an interchange between rotational and linear movements at a transition position when the carrier is pulled out of or pushed into the appliance.