Conjugative plasmids are the main vehicle for the spread of antimicrobial resistance (AMR) genes in clinical bacteria. AMR plasmids allow bacteria to survive antibiotic treatments, but they also produce physiological alterations in their hosts that commonly translate into fitness costs. Despite the key role of plasmid-associated fitness effects in AMR evolution, their origin and molecular bases remain poorly understood. In this study, we introduce plasmid-wide CRISPR interference (CRISPRi) screens as a tool to dissect plasmid-associated fitness effects. We designed and performed CRISPRi screens targeting the globally distributed carbapenem resistance plasmid pOXA-48 in 13 different multidrug resistant clinical Enterobacterales. Our results revealed that pOXA-48 gene-level effects are conserved across clinical strains, and exposed the key role of the carbapenemase-encoding gene, blaOXA-48, as the main responsible for pOXA-48 fitness costs. Moreover, our results highlighted the relevance of postsegregational killing systems in pOXA-48 vertical transmission, and uncovered new genes implicated in pOXA-48 stability. This study sheds new light on the biology and evolution of carbapenem resistant Enterobacterales and endorses CRISPRi screens as a powerful method for studying plasmid-mediated AMR.