Required for spatial organization of the terminus region of the chromosome (Ter macrodomain) during the cell cycle. Prevents early segregation of duplicated Ter macrodomains during cell division. Binds specifically to matS, which is a 13 bp signature motif repeated within the Ter macrodomain. Homodimer. Accumulates in the cell as a discrete focus that colocalizes with the Ter macrodomain. Mutants grown in rich medium show severe defects in chromosome segregation and cell division. Belongs to the MatP family.