A high-strength hot-rolled steel sheet having a chemical composition comprising, by mass: C: from 0.030 to 0.250%; Si: from 0.01 to 1.50%; Mn: from 0.1 to 3.0%; Ti: from 0.040 to 0.200%; P: 0.100% or less; S: 0.005% or less; Al: 0.500% or less; N: 0.0090% or less; B: from 0 to 0.0030%; a total of one or more of Nb, Mo and V: from 0 to 0.040%; a total of one or more of Ca and REM: from 0 to 0.010%; and a balance consisting of Fe and impurities, a mass ratio [Ti]/ of a Ti amount to a C amount being from 0.16 to 3.00, and a product [Ti] × of the Ti amount and the C amount being from 0.0015 to 0.0160, the high-strength hot-rolled steel sheet: having a mean dislocation density of from 1 × 10 14 to 1 × 10 16 m -2; and comprising at least bainitic ferrite, wherein a total area ratio of the bainitic ferrite and ferrite is 70% or more and less than 90%, wherein a total area ratio of martensite and retained austenite is 5% or more and 30% or less, wherein, in ferrite crystal grains and in bainitic ferrite crystal grains, a mean number density of TiC precipitates is from 1 × 10 17 to 5 × 10 18, expressed as precipitates/ cm 3, wherein an amount of Ti present as a TiC precipitate precipitated in a matrix not on dislocations is 30 mass% or more of a total amount of Ti in the steel sheet, wherein a tensile strength is 850 MPa or more, and wherein [Ti] and represent the Ti amount and the C amount in mass%, respectively, wherein the mean dislocation density, the total area ratio of the bainitic ferrite and ferrite, and the total area ratio of martensite and retained austenite are determined as laid out in the description. C: from 0.030 to 0.250%; Si: from 0.01 to 1.50%; Mn: from 0.1 to 3.0%; Ti: from 0.040 to 0.200%; P: 0.100% or less; S: 0.005% or less; Al: 0.500% or less; N: 0.0090% or less; B: from 0 to 0.0030%; a total of one or more of Nb, Mo and V: from 0 to 0.040%; a total of one or more of Ca and REM: from 0 to 0.010%; and a balance consisting of Fe and impurities, a mass ratio [Ti]/ of a Ti amount to a C amount being from 0.16 to 3.00, and a product [Ti] × of the Ti amount and the C amount being from 0.0015 to 0.0160, the high-strength hot-rolled steel sheet: having a mean dislocation density of from 1 × 10 14 to 1 × 10 16 m -2; and comprising at least bainitic ferrite, wherein a total area ratio of the bainitic ferrite and ferrite is 70% or more and less than 90%, wherein a total area ratio of martensite and retained austenite is 5% or more and 30% or less, wherein, in ferrite crystal grains and in bainitic ferrite crystal grains, a mean number density of TiC precipitates is from 1 × 10 17 to 5 × 10 18, expressed as precipitates/ cm 3, wherein an amount of Ti present as a TiC precipitate precipitated in a matrix not on dislocations is 30 mass% or more of a total amount of Ti in the steel sheet, wherein a tensile strength is 850 MPa or more, and wherein [Ti] and represent the Ti amount and the C amount in mass%, respectively, wherein the mean dislocation density, the total area ratio of the bainitic ferrite and ferrite, and the total area ratio of martensite and retained austenite are determined as laid out in the description. having a mean dislocation density of from 1 × 10 14 to 1 × 10 16 m -2; and comprising at least bainitic ferrite, wherein a total area ratio of the bainitic ferrite and ferrite is 70% or more and less than 90%, wherein a total area ratio of martensite and retained austenite is 5% or more and 30% or less, wherein, in ferrite crystal grains and in bainitic ferrite crystal grains, a mean number density of TiC precipitates is from 1 × 10 17 to 5 × 10 18, expressed as precipitates/ cm 3, wherein an amount of Ti present as a TiC precipitate precipitated in a matrix not on dislocations is 30 mass% or more of a total amount of Ti in the steel sheet, wherein a tensile strength is 850 MPa or more, and wherein [Ti] and represent the Ti amount and the C amount in mass%, respectively, wherein the mean dislocation density, the total area ratio of the bainitic ferrite and ferrite, and the total area ratio of martensite and retained austenite are determined as laid out in the description.