A method for continuous-casting Ti-containing hypo-peritectic steel, the method comprising: continuous-casting hypo-peritectic steel containing 0.1-1 mass% of Ti using a mold flux, wherein the mold flux contains CaO, SiO 2, an alkali metal oxide and a fluorine compound as major components, with each major component no less than 5 mass% and the total content thereof is no less than 70 mass%, chemical composition of the mold flux before the mold flux is put into a mold satisfies the formulas, and, a TiO 2 content of the mold flux in a melting state during the casting is no more than 20 mass%, and a strength ratio of a film of the mold flux in a solidifying state after the casting is no more than 1.0: 1.1 − 0.5 × T ≤ f 1 ≤ 1.9 − 0.5 × T 0.05 ≤ f 2 ≤ 0.40 0 ≤ f 3 ≤ 0.40 wherein in the formulas to, f 1 = CaO h / SiO 2 h f 2 = CaF 2 h / CaO h + SiO 2 h + CaF 2 h f 3 = alkali metal fluoride h / CaO h + SiO 2 h + alkali metal fluoride h wherein in the formulas to, CaO h = W CaO − CaF 2 h × 0.718 SiO 2 h = W SiO 2 CaF h = W F − W Li 2 O × 1.27 − W Na 2 O × 0.613 − W K 2 O × 0.403 × 2.05 alkali metal fluoride h = W Li 2 O × 1.74 + W Na 2 O × 1.35 + W K 2 O × 1.23 wherein T is a Ti content of molten steel (mass%), W CaO is a CaO content of the mold flux (mass%), W SiO2 is a SiO 2 content of the mold flux (mass%), W F is a F content of the mold flux (mass%), and W Li2O, W Na2O and W K2O are contents of Li 2 O, Na 2 O and K 2 O respectively, which are alkali metal oxides, of the mold flux (mass%), and wherein the strength ratio of the film means a ratio of a first peak height of perovskite to a first peak height of cuspidine, the ratio being obtained from X-ray diffraction analysis of powder obtained by pulverizing the film of the mold flux. continuous-casting hypo-peritectic steel containing 0.1-1 mass% of Ti using a mold flux, wherein the mold flux contains CaO, SiO 2, an alkali metal oxide and a fluorine compound as major components, with each major component no less than 5 mass% and the total content thereof is no less than 70 mass%, chemical composition of the mold flux before the mold flux is put into a mold satisfies the formulas, and, a TiO 2 content of the mold flux in a melting state during the casting is no more than 20 mass%, and a strength ratio of a film of the mold flux in a solidifying state after the casting is no more than 1.0: 1.1 − 0.5 × T ≤ f 1 ≤ 1.9 − 0.5 × T 0.05 ≤ f 2 ≤ 0.40 0 ≤ f 3 ≤ 0.40 wherein in the formulas to, f 1 = CaO h / SiO 2 h f 2 = CaF 2 h / CaO h + SiO 2 h + CaF 2 h f 3 = alkali metal fluoride h / CaO h + SiO 2 h + alkali metal fluoride h wherein in the formulas to, CaO h = W CaO − CaF 2 h × 0.718 SiO 2 h = W SiO 2 CaF h = W F − W Li 2 O × 1.27 − W Na 2 O × 0.613 − W K 2 O × 0.403 × 2.05 alkali metal fluoride h = W Li 2 O × 1.74 + W Na 2 O × 1.35 + W K 2 O × 1.23 wherein T is a Ti content of molten steel (mass%), W CaO is a CaO content of the mold flux (mass%), W SiO2 is a SiO 2 content of the mold flux (mass%), W F is a F content of the mold flux (mass%), and W Li2O, W Na2O and W K2O are contents of Li 2 O, Na 2 O and K 2 O respectively, which are alkali metal oxides, of the mold flux (mass%), and wherein the strength ratio of the film means a ratio of a first peak height of perovskite to a first peak height of cuspidine, the ratio being obtained from X-ray diffraction analysis of powder obtained by pulverizing the film of the mold flux.