The normality of meromorphic functions whose zeros distribute on some straight lines was discussed and it is proved:let F be a family of meromorphic functions on a unit disk D, all of whose poles have multiplicity at least m, where m≥3 is an integer.If there exists M≥0, such that for each f∈F, all zeros of f distribute on a straight line, f'(z)≠1, z∈D and f=0→|f'|≤M, then F is normal on D.