A method for manufacturing a press-formed product comprising the steps of: heating a steel sheet for hot pressing use to a temperature of Ac 3 transformation point or above and 950°C or below, the steel sheet for hot pressing use consisting of: C: 0.15-0.5% means mass%, hereinafter the same with respect to the chemical component composition; Si: 0.2-3%; Mn: 0.5-3%; P: 0.05% or less, exclusive of 0%; S: 0.05% or less, exclusive of 0%; Al: 0.01-1%; B: 0.0002-0.01%; Ti: 3.4 +0.01% or more and 3.4 +0.1% or less, expresses the content mass% of N; and N: 0.001-0.01% respectively, optionally at least one element selected from the group consisting of V, Nb and Zr by 0.1% or less, exclusive of 0%, in total; optionally at least one element selected from the group consisting of Cu, Ni, Cr and Mo by 1% or less, exclusive of 0%, in total; and optionally at least one element selected from the group consisting of Mg, Ca and REM by 0.01% or less, exclusive of 0%, in total, with the remainder consisting of iron and inevitable impurities, Ti-containing precipitates contained in the steel sheet, each of which having an equivalent circle diameter of 30 nm or less, have an average equivalent circle diameter of 3 nm or more, wherein the Ti-containing precipitates are selected from TiC, TiN, TiVC, TiNbC, TiVCN and TiNbCN, and the precipitated Ti amount and the total Ti amount in the steel fulfilling the relationship represented by formula shown below; thereafter starting press forming; and being held at the bottom dead point and being cooled to a temperature lower than martensite transformation starting temperature Ms while securing the average cooling rate of 20°C/s or more within a tool. Precipitated Ti amount mass% − 3.4 N ≥ 0.5 × total Ti amount mass%-3.4 N In the formula, represents the content mass% of N in the steel. heating a steel sheet for hot pressing use to a temperature of Ac 3 transformation point or above and 950°C or below, the steel sheet for hot pressing use consisting of: C: 0.15-0.5% means mass%, hereinafter the same with respect to the chemical component composition; Si: 0.2-3%; Mn: 0.5-3%; P: 0.05% or less, exclusive of 0%; S: 0.05% or less, exclusive of 0%; Al: 0.01-1%; B: 0.0002-0.01%; Ti: 3.4 +0.01% or more and 3.4 +0.1% or less, expresses the content mass% of N; and N: 0.001-0.01% respectively, C: 0.15-0.5% means mass%, hereinafter the same with respect to the chemical component composition; Si: 0.2-3%; Mn: 0.5-3%; P: 0.05% or less, exclusive of 0%; S: 0.05% or less, exclusive of 0%; Al: 0.01-1%; B: 0.0002-0.01%; Ti: 3.4 +0.01% or more and 3.4 +0.1% or less, expresses the content mass% of N; and N: 0.001-0.01% respectively, optionally at least one element selected from the group consisting of V, Nb and Zr by 0.1% or less, exclusive of 0%, in total; optionally at least one element selected from the group consisting of Cu, Ni, Cr and Mo by 1% or less, exclusive of 0%, in total; and optionally at least one element selected from the group consisting of Mg, Ca and REM by 0.01% or less, exclusive of 0%, in total, with the remainder consisting of iron and inevitable impurities, Ti-containing precipitates contained in the steel sheet, each of which having an equivalent circle diameter of 30 nm or less, have an average equivalent circle diameter of 3 nm or more, wherein the Ti-containing precipitates are selected from TiC, TiN, TiVC, TiNbC, TiVCN and TiNbCN, and the precipitated Ti amount and the total Ti amount in the steel fulfilling the relationship represented by formula shown below; thereafter starting press forming; and being held at the bottom dead point and being cooled to a temperature lower than martensite transformation starting temperature Ms while securing the average cooling rate of 20°C/s or more within a tool. Precipitated Ti amount mass% − 3.4 N ≥ 0.5 × total Ti amount mass%-3.4 N