A hot-pressed member comprising: a steel chemical composition containing, by mass%, C: 0.28 % or more and less than 0.42 %, Si: 1.5 % or less, Mn: 1.1 % or more and 2.4 % or less, P: 0.05% or less, S: 0.005 % or less, Al: 0.01 % or more and 0.50 % or less, N: 0.010 % or less, Ti: 0.005 % or more and 0.15 % or less, and at least one selected from the group consisting of Mo: 0.50 % or less and Cr: 0.50 % or less, optionally at least one selected from the group consisting of Nb: 0.15 % or less, B: 0.0050 % or less, Sb: 0.001 % or more and 0.020 % or less, Ca: 0.005 % or less, Mg: 0.005 % or less, REM: 0.005 % or less, V: 0.15 % or less, Cu: 0.50 % or less, Ni: 0.50 % or less, Sn: 0.50 % or less, Zn: 0.10 % or less, Co: 0.10 % or less, Zr: 0.10 % or less, Ta: 0.10 % or less, and W: 0.10 % or less, with the balance being Fe and inevitable impurities; a microstructure in which a prior austenite average grain size is 8 μm or less, a volume fraction of martensite is 90 % or more, and at least 10 cementite grains having a grain size of 0.05 μm or more are present on average per 200 μm 2 of a cross section parallel to a thickness direction of the member, measured according to the description, and at least 10 Ti-based precipitates having a grain size of 0.005 μm or more and less than 0.10 μm are present on average per 100 μm 2 of the cross section parallel to the thickness direction of the member in a range of 100 μm in the thickness direction from a surface of the member, measured according to the description, and a tensile strength of 1780 MPa or more, measured in accordance with JIS Z 2241 on a JIS No. 5 tensile test specimen that is collected at the hat bottom portion of the hot-pressed member. a steel chemical composition containing, by mass%, C: 0.28 % or more and less than 0.42 %, Si: 1.5 % or less, Mn: 1.1 % or more and 2.4 % or less, P: 0.05% or less, S: 0.005 % or less, Al: 0.01 % or more and 0.50 % or less, N: 0.010 % or less, Ti: 0.005 % or more and 0.15 % or less, and at least one selected from the group consisting of Mo: 0.50 % or less and Cr: 0.50 % or less, optionally at least one selected from the group consisting of Nb: 0.15 % or less, B: 0.0050 % or less, Sb: 0.001 % or more and 0.020 % or less, Ca: 0.005 % or less, Mg: 0.005 % or less, REM: 0.005 % or less, V: 0.15 % or less, Cu: 0.50 % or less, Ni: 0.50 % or less, Sn: 0.50 % or less, Zn: 0.10 % or less, Co: 0.10 % or less, Zr: 0.10 % or less, Ta: 0.10 % or less, and W: 0.10 % or less, with the balance being Fe and inevitable impurities; a microstructure in which a prior austenite average grain size is 8 μm or less, a volume fraction of martensite is 90 % or more, and at least 10 cementite grains having a grain size of 0.05 μm or more are present on average per 200 μm 2 of a cross section parallel to a thickness direction of the member, measured according to the description, and at least 10 Ti-based precipitates having a grain size of 0.005 μm or more and less than 0.10 μm are present on average per 100 μm 2 of the cross section parallel to the thickness direction of the member in a range of 100 μm in the thickness direction from a surface of the member, measured according to the description, and a prior austenite average grain size is 8 μm or less, a volume fraction of martensite is 90 % or more, and at least 10 cementite grains having a grain size of 0.05 μm or more are present on average per 200 μm 2 of a cross section parallel to a thickness direction of the member, measured according to the description, and at least 10 Ti-based precipitates having a grain size of 0.005 μm or more and less than 0.10 μm are present on average per 100 μm 2 of the cross section parallel to the thickness direction of the member in a range of 100 μm in the thickness direction from a surface of the member, measured according to the description, and