This will depend on whether you’re living in your motorhome in a fixed location, or if you are travelling. If you have a permanent residence on a residential caravan site, for example, then you’d be expected to pay Council Tax. But, if you are always on the move, logistically, it would be very difficult to pay Council Tax, not least because you may not be in the same council authority for very long. It’s always worth contacting your local council to find out if you’re unsure.