We examined whether perceived similarity in COVID‐19 centrality (i.e., the extent to which one thinks of the pandemic as shaping current and future life) is associated with family relationship quality during the pandemic. Thinking that other family members are similar to oneself regarding the pandemic's centrality may improve the quality of family relationships. We collected data from Turkish family triads (i.e., mother, father, 18–25 years old child) and had 481 participants from 180 families. Participants rated their similarity in COVID‐19 centrality with the other two family members and reported the general and daily quality of their relationship with them (relationship satisfaction, closeness, conflict). We analyzed the data using the Social Relations Model. We found that family members who, on average, perceived more similarity in COVID‐19 centrality reported higher levels in positive attributes of general relationship quality (i.e., satisfaction and closeness). The effects on conflict and daily relationship quality were less conclusive. This research confirms that family members' reactions during the COVID‐19 pandemic are interdependent. Perceiving that other family members are of similar minds about the centrality of the pandemic relates positively to some aspects of relationship quality.