In 2010, Davvaz and Mirvakili introduced a new class of hyper structure called an (m,n)-Krasner hyperring, constructed its quotient class where the hyper ideal considered in the said construction is normal, and proved the isomorphism theorems. Recently, Castillo and Vilela investigated the (2,3)-Krasner hyperring called a Krasner ternary hyperring, and constructed its quotient class via another relation where the hyper ideal considered in the construction is not necessarily normal. In this article, a Krasner ternary hyper field is defined and characterized. Moreover, more structure results on prime and maximal hyper ideals not found in (1) are established.