To date, the vast majority of the research on aggression has been conducted on Western samples. This research expands the culture‐bound understanding of aggression by examining universal and culture‐specific dimensions that underlie the psychological structure of aggression. Drawing on cultural logics of honor, dignity, and face, we examine the construal of aggression across Pakistan, Israel, Japan, and the United States. Multidimensional scaling analyses revealed potentially universal dimensions of aggression. In all four nations, dimensions of damage to self‐worth and direct versus indirect aggression emerged, and a physical versus verbal aggression emerged in Pakistan, Israel, and Japan. In addition, an infringement to personal resources dimension emerged in the United States and Israel, and a degree of threat dimension emerged in Pakistan. Further, results demonstrated cultural specificity in terms of (i) where aggressive behaviors fell along each dimension and (ii) meanings that defined each dimension across cultures. These findings have implications for the prevention and attenuation of intercultural conflicts as well as the advancement of the cross‐cultural psychology and the aggression literatures. Copyright © 2013 John Wiley & Sons, Ltd.