This work aims at studying the concentration of the French press industry, using as quantitative benchmarks several concentration indexes, such as the Herfindahl-Hirschman index, and the diversity index adapted to the media sector recently introduced by Noam (2003). This Noam index has, so far, not been used extensively, at least to our knowledge. Our paper is organised as follows. The second part begins by a media industry-oriented discussion various statistical indexes of concentration, and proposes an application of these various indexes to the case of the French written press. A discussion of the results follows. Finally, the main conclusions of our research are developed.