Asordaria gen. nov. is introduced for Sordariaceae with ovate or broadly ellipsoidal, smooth ascospores without gelatinous sheath. The genus is based on Asordaria tenerifae spec. nov. Seven species of Sordaria are reclassified in Asordaria and a further species is described as A. islandica. Asordaria is considered to be more closely related to Boothiella, Neurospora, Gelasinospora, and Melanocarpus than to Sordaria, which is restricted to species with elongate ascospores with a gelatinous sheath. Melanocarpus oblatus spec. nov. is described.