Polymerizable dental material comprises at least two components, which are initiator components of: component 1 containing a salt of a CH-acid compound, where the CH-acid compounds initiate radical polymerization; and component 2 containing an acid, whose acid strength is greater than CH-acid compound existing in component 1 as salts, where at least one of the components of the polymerizable dental material contains radically polymerizable monomers and at least a component of the co-initiator compound (I). Polymerizable dental material comprises at least two components, which are initiator components of: component 1 containing a salt of a hydrocarbon acid compound, where the CH-acid compounds can initiate radical polymerization; and component 2 containing an acid, whose acid strength is greater than CH-acid compound in component 1 as salts, where at least one of the components of the polymerizable dental material contains radically polymerizable monomers and at least a component of the co-initiator compound of formula ((R 1>;-(N)(R 2>;)(R 3>;)(R 4>;)) +>;) (Hal ->;) (I). Hal ->;Cl ->;, I ->;or Br ->;; R 1>;-R 3>;1-12C, preferably 2-6C alkyl; and R 4>;1-12C, preferably 2-6C alkyl or benzyl. Where maximum of the R group contains 12C-alkyl group.