A self-curing dental adhesive has at least one polymerizable resin; at least one polymerizable monomer; at least one polymerizable monomer with an acidic moiety selected from the group and salts thereof; a stabilizer; an organic solvent or water in a content of from about 10 to about 90 percent by weight; and, at least one part of a thermal redox initiator system or a photoinitiator. The adhesive polymerizes immediately after application of a self-curing dental material that comprises a redox-initiator system, and has an adhesion to dentine of at least about 7 MPa.