Résumé : The colorectal cancer is one of the three most frequent cancers. It concerns more and more men and women and is a of heavy consequence for mortality and treatment. This study attempted to predict the incidence and the number of incident cases of colorectal cancer. The analysis is a Poisson regression based on an age-period-cohort model. The predicted value of the incidence of colon cancer, standardized on the world population (25-89 years old), is increasing with time: it is, in 2005-2009, 41.5 for 100,000 for the women and 104.9 for 100,000 for the men. For rectum cancer, the predicted value of incidence is, in 2005-2009, 22.9 for 100,000 for the women and 37.2 for 100, 000 for the men. During the period 2005-2009, the number of incident cases is, for colon, 1,195 women (the mean increase, every ten years, is 31%) and 2,254 men (the mean increase, every ten years, is 65%). During the same period, the number of incident cases is, for rectum, 640 women (the mean increase, every ten years, is 24%) and 807 men (the mean increase every ten years is 14%).These results are similar to those of other studies in Europe and in the World.