High entropy ceramics (HECs) typically refer to a kind of solid solution consisting of five or more principal elements. In recent years, different kinds of HECs have developed rapidly whereas high entropy oxides with fluorite structure are still in their nascent state. In this study, a new type of high entropy fluorite oxide was successfully synthesized using mechanical ball-milling followed by conventional sintering. Phase transformation, surface morphology and sintering behavior of ceramic were characterized. The results demonstrate that (Zr_1/7Hf_1/7Ce_1/7Y_2/7La_2/7)O_2-δ is a non-equimolar high entropy ceramic in which all elements distribute homogenously. The powders derived from wet-milling or dry-milling possess different crystal structure and particle size. Raw materials transform into single-phase structure at 1600 ℃ and 1300 ℃, respectively. After dwelling at 1600 ℃ for 1 h, the shrinkage of two discs are 8.5% and 17.8%, approximately, at the same time, the relative densities are 82.25% and 93.23%. These miscellaneous distinctions indicate that ball-milling process is a crucial factor affecting sinterability of HECs. In order to avoid cracks caused by rapid shrinkage and improve density of ceramic, it is vital to decrease heating rate and prolong dwell time in the range of 1300-1600 ℃ as preparing (Zr_1/7Hf_1/7Ce_1/7Y_2/7La_2/7)O_2-δ by conventional sintering.