We say a positive integer n has Property B if every minimal zero-sum subsequence of 2n － 1elements in CnCn contains some elements n － 1 times． Property B is a central topic in zero-sum theory on abeliangroup G with rank two． Property B has been first formulated and investigated by professer W． D． Gao and A．Geroldinger in ［1 － 3］． It has been proved that if n≥6 and if n has Property B，then 2n has Property B． It has beenalso proved that if n∈{ 2，3，4，5，6，7} ，then n has property B［4 － 6］． In ［7］，we proved that n = 10 has PropertyB． In this paper，we will verify that n = 8 has Property B．