FIELD : medicine.SUBSTANCE : present invention relates to dentistry. Proposed is a kit of parts for dental use comprising part A and part B, wherein part A comprising : ascorbic acid component(s) comprising an ascorbic acid or derivative(s) thereof, part B comprising : polymerizable component(s) without acidic moieties, polymerizable component(s) with acidic moieties, transition metal component(s), organic peroxide(s) selected from hydroperoxide(s) and diperoxide(s). Component A may also comprise : polymerized component(s) without acidic moieties, polymerized component(s) with acidic moieties and/or filler.EFFECT : said set provides a composition demonstrating good adhesion to enamel and dentin surfaces, combined with good mechanical properties in self-curing mode.14 cl, 8 tbl