Crohn's disease (CD) is a chronic inflammatory disease of the gastrointestinal (GI) tract. CD is a common inflammatory bowel disease (IBD), frequent (150,000 patients in France and 1.5 million in Europe), disabling and incurable. The environmental factors, and in particular diet, play a major role in the pathogenesis of CD. The prevalence of CD is steadily increasing in highly industrialized countries, where the Western diet rich in saturated fats and refined sugars, is blamed for this to explain this true pandemic. On the other hand, enteral nutrition, exclusive or partial, is known to be effective in the initial treatment of CD, especially in pediatrics. There are a number of evidence in favor of a nutritional management nutritional management of caloric restriction during inflammatory diseases such as psoriasis and rheumatoid arthritis,whose physiopathology is similar to that of IBD. To date, and despite patient concern, there is no consensus nutritional in the management of CD to influence the natural course of the disease. The investigators have decided to initiate a clinical study to evaluate for the first time the efficacy, acceptability and safety of intermittent caloric restriction in patients with CD.