An antimicrobial composition containing a cationic polymer having limited antimicrobial activity (such as a hydrophobically-modified quaternary ammonium cellulose ether) and an antimicrobial compound (such as one or more compounds selected from the group consisting of sodium pyrithione and zinc pyrithione). The growth of microorganisms (such as Pseudomonas aeruginosa) can be inhibited by exposing the microorganism to such a composition.