Epigenetic regulation enables tumors to respond to changing environments during tumor progression and metastases and facilitates treatment resistance. Targeting chromatin modifiers or catalytic effectors of transcription is an emerging anti-cancer strategy. The cyclin-dependent kinases (CDKs) 12 and 13 phosphorylate the C-terminal domain of RNA polymerase II, regulating transcription and co-transcriptional processes. Here we report the development of SR-4835, a highly selective dual inhibitor of CDK12 and CDK13, which disables triple-negative breast cancer (TNBC) cells. Mechanistically, inhibition or loss of CDK12/CDK13 triggers intronic polyadenylation site cleavage that suppresses the expression of core DNA damage response proteins. This provokes a "BRCAness" phenotype that results in deficiencies in DNA damage repair, promoting synergy with DNA-damaging chemotherapy and PARP inhibitors.