PROBLEM TO BE SOLVED: To provide antimicrobial compositions and more specifically compositions of quinolone carboxylic acid derivatives.SOLUTION: Pharmaceutical compositions comprise prior to mixing a quinolone carboxylic acid derivative or a pharmaceutically acceptable salt or ester thereof, and a cyclodextrin, and further comprise a chelating agent, and yet further comprise an inclusion complex. The pharmaceutical compositions have improved solubility, stability, and tolerability. These compositions are useful for intravenous administration for treating and preventing infection, or reducing the risk of infection.