Abstract: Let~$\{f_{n}\}$~be a sequence  of meromorphic functions on
a domain~$D$,~all of whose zeros have multiplicity at least $ 3$,and
each of which has a multiple pole. Let $\{h_{n}\}$~be a sequence of
meromorphic functions on~$D$, such that~$\{h_{n}\}$~converges
spherically locally uniformly to  a function~$h$ which is
meromorphic and zero-free on $D$. If~$f'_{n}\ne h_{n}$,
then~$\{f_{n}\}$~is normal on~$D$.

Key words: meromorphic function, normal family, sequence of omitted functions