The present invention relates generally to dental compositions containing polymerizable resins and a catalyst system for accelerating polymerization and hardening of the resins. The composition is prepared from two parts - a base paste containing a polymerizable resin and thiourea compound that acts as a polymerization accelerator and a catalyst paste containing thermally stable hydroperoxide compounds. The dental compositions can be used as crown and bridge materials inlays, onlays, veneers, fillings, sealants, adhesives, cements, and other dental materials.