There are many news events reported daily on the Internet. An innovative method is proposed to mine event-relations between news. Following an adjacent term-combining strategy, this method primarily utilized a so-called term frequency & inverse event frequency (TF-IEF) model to extract key phrases from the corresponding reports set as to a particular event. Then term co-occurrence windows were employed to calculate the associating degree of every single term pair. This degree is indicative in building event key phrase-networks. Further, two matters were correlated to shape the event relation-network model: (I) common key phrases as mediators within event key phrase-network, and (II) the degree of commonness of key phrases within different observed events. An experiment was conducted to examine the performance of proposed method. The results show that the method can accurately extract key phrases and comprehensively mine associations between events.