Abstract: The normality of meromophic functions with shared values is dealt with and the following result is achieved. Let Fbe a family of m eromorphic functions on the unit circle Δ , and a≠b, b≠0, c≠0 are finite complex  numbers. For f∈F, the zeros of f(z) are of mulitiplicity, at least, k(k≥2). F is normal on unit circle Δ.

Key words: meromophic function, share value, normal criterion 