In this paper, we study the normality criteria of meromorphic functions concerning shared fixed-points, we obtain: Let F be a family of meromorphic functions defined in a domain D. Let n, k ≥ 2 be two positive integers. For every f ∈ F, all of whose zeros have multiplicity at least （nk+2）/（n-1）. If f（f^（k））ⁿand g（g^（k））ⁿshare z in D for each pair of functions f and g, then F is normal.