Absorbent product, such as a diaper, a sanitary napkin or an incontinence product, having a longitudinal and a lateral direction, including a back sheet, being distal from the body of the wearer in use of the product, and a top sheet, being proximal to the body of the wearer in use of the product, the product having a front part, a rear part and a crotch part lying between the front and rear parts, the product further including an absorbent structure, between the top and back sheet, extending longitudinally from the front part to the rear part, and whereby the product includes at least one starch-based odor control agent having a specific area of at least 5 m2/g, preferably at least 10 m2/g, more preferably at least 50 m2/g, even more preferably at least 100 m2/g, and most preferably at least 200 m2/g. Hereby, an enhanced capacity to absorb malodorous compounds of large size intervals in wet and dry systems is achieved.