Abstract: In practice, the communication media in the network are fallible. However, in previous results of the Byzantine Agreement (BA), most of the researches are focus on the fallible component in the network is processor only. This treatment would make an innocent processor would not be able to reach a common agreement due to its faulty communication media. In this paper, we revisit the BA problem in an unreliable MultiCasting Network (MCN) and we also enlarge the fault-tolerant capability by allowing dormant faults and malicious faults to exist in an MCN. The proposed protocols can make each fault-free processor reach a common agreement value by only one round of message exchange and can tolerate the maximum number of faulty communication media.