A dental adhesive curable composition containing a polymerizable monomer including a polymerizable monomer represented by formula (1′;) and defined amounts of an acidic group-containing polymerizable monomer, a polymerization initiator containing a peroxide and a photopolymerization initiator, and a reductant containing a sulfinic acid compound and/or a salt thereof, and a filler:wherein the R groups, n and m are defined. A dental adhesive curable kit and a mobile tooth fixing material are also provided.