The normality of meromorphic functions whose zeros distribute on a certain straight lines was discussed and obtained:let F be a family of meromorphic functions on the unit disc D, if there exists M≥0, such that for each f∈F, f(z)=0⇒|f'|≤M|z^m|, all zeros of f(z) distribute on a certain straight line, all of whose poles have multiplicity at least 3, and f'z≠z^m, z∈D, then F is normal on D.