Proteins with highly charged disordered regions are abundant in the nucleus, where many of them interact with nucleic acids and control key processes such as transcription. The functional advantages conferred by protein disorder, however, have largely remained unclear. Here we show that disorder can facilitate a remarkable regulatory mechanism involving molecular competition. Single-molecule experiments demonstrate that the human linker histone H1 binds to the nucleosome with ultra-high affinity. However, the large-amplitude dynamics of the positively charged disordered regions of H1 persist on the nucleosome and facilitate the interaction with the highly negatively charged and disordered histone chaperone prothymosin α. Consequently, prothymosin α can efficiently invade the H1-nucleosome complex and displace H1 via competitive substitution. By integrating experiments and simulations, we establish a molecular model that rationalizes this process structurally and kinetically. Given the abundance of charged disordered regions in the nuclear proteome, this mechanism may be widespread in cellular regulation. 3 A large fraction of the human genome codes for proteins that contain substantial disordered regions or even lack any well-defined three-dimensional structure 1 . These intrinsically disordered proteins are involved in many cellular processes and mediate key interactions with other proteins or nucleic acids 2 . DNA-and RNA-binding proteins often contain disordered regions highly enriched in positively charged residues 3,4 , which are expected to facilitate electrostatic interactions with their cellular targets, the highly negatively charged nucleic acids 3 . The affinities can be remarkably high, even if no structure is formed upon binding 5,6 . Such polyelectrolyte interactions have long been known in the field of soft matter physics 7 , but their importance in biology has only recently started to be recognized 5,6,[8][9][10][11] and is thus largely unexplored.A ubiquitous group of proteins with long disordered positively charged regions are the histones, which are responsible for packaging DNA into chromatin. Among these, the linker histones are particularly remarkable 12 : They are largely disordered and highly positively charged, with two disordered regions flanking a small folded globular domain. By binding to the linker DNA on the nucleosome (Fig. 1a), linker histones contribute to chromatin condensation and transcriptional regulation 12,13 . However, the role of protein disorder in the complex between nucleosome and linker histone and the functional consequences have remained unclear. Here, by integrating single-molecule experiments and simulations, we establish a molecular model of the linker histone-nucleosome complex and show that disorder enables an unexpected mechanism that regulates linker histone binding: The highly negatively charged and disordered human protein prothymosin α (ProTα), a histone chaperone 14-17 that forms a high-affinity disordered complex with linker histone H1 5 , can efficiently...