Despite the prevalent assumption among scholars of social movements and contentious politics that transformative contentious events are also the focus of public attention and discussion, there has been little attempt to substantiate this. After making a case for why to focus on focusing events and suggesting that these events should be thought of as products of a dialogical contentious meaning‐making process, we develop a coverage attribute‐based method for identifying focusing events. For illustrative purposes, we apply our method to the coverage of contentious events during the “first” intifada by Israeli‐Jewish, Jewish settler, and Palestinian newspapers. Findings from analyses of 11,868 news items reveal that newspapers are likely to strategically quiet contentious events that are strategically amplified by newspapers affiliated with opposing or targeted parties, and vice versa, depending on their interpretation of these events as political opportunities or threats. Analyses of variations across and within contending parties reveal the role of structure and agency in the dialogical seesaw‐like dynamics of contentious meaning‐making.