Muotathal is a village and a municipality in Schwyz District in the canton of Schwyz in Switzerland. The eponymous valley, the Muotatal, is forme…Muotathal is a village and a municipality in Schwyz District in the canton of Schwyz in Switzerland. The eponymous valley, the Muotatal, is formed by the Muota, which joins Lake Lucerne at Brunnen. Muotathal is first mentioned in 1246 as Muthathal and Mutetal.