A high-strength hot-rolled steel sheet consisting of, on a mass percent basis: C: 0.03% or more and 0.1% or less, Si: 0.001% or more and less than 0.5%, Mn: more than 0.7% and less than 1.2%, P: 0.005% or more and 0.05% or less, S: 0.0001% or more and 0.005% or less, N: 0.0001% or more and 0.01% or less, Al: 0.001% or more and 0.1% or less, and Ti: 0.1% or more and 0.25% or less, optionally at least one of V: 0.002% or more and 0.1% or less, Nb: 0.002% or more and 0.1% or less, Cu: 0.005% or more and 0.2% or less, Ni: 0.005% or more and 0.2% or less, Cr: 0.002% or more and 0.2% or less, Mo: 0.002% or more and 0.2% or less, B: 0.0002% or more and 0.003% or less, Ca: 0.0002% or more and 0.005% or less and REM: 0.0002% or more and 0.03% or less, such that C, S, N, and Ti satisfy the following formulae and, the remainder being Fe and incidental impurities, wherein the high-strength hot-rolled steel sheet has a microstructure in which a ferrite phase fraction is more than 90% by area and in which less than 10% by area in total are cementite, pearlite, bainite, martensite and/or retained austenite, a carbide containing Ti is precipitated, and 70% by number or more of the carbide has a grain size of less than 9 nm, Ti * ≥ 0.1 C × 48 / 12 − 0.14 < Ti * < C × 48 / 12 + 0.08 wherein Ti* = Ti - N x (48/14) - S x (48/32), and C, S, N, and Ti denote the amounts (% by mass) of the corresponding elements, and wherein 50% by mass or more of Ti is precipitated as carbide precipitates containing Ti having a grain size of less than 20 nm, including precipitates of Ti carbide, Ti nitride, Ti sulfide, and/or Ti carbonitride, and/or complex precipitates, such as complex carbide, complex nitride, complex sulfide, and/or complex carbonitride containing Ti and at least one of Nb, V, Cr, and Mo. C: 0.03% or more and 0.1% or less, Si: 0.001% or more and less than 0.5%, Mn: more than 0.7% and less than 1.2%, P: 0.005% or more and 0.05% or less, S: 0.0001% or more and 0.005% or less, N: 0.0001% or more and 0.01% or less, Al: 0.001% or more and 0.1% or less, and Ti: 0.1% or more and 0.25% or less, optionally at least one of V: 0.002% or more and 0.1% or less, Nb: 0.002% or more and 0.1% or less, Cu: 0.005% or more and 0.2% or less, Ni: 0.005% or more and 0.2% or less, Cr: 0.002% or more and 0.2% or less, Mo: 0.002% or more and 0.2% or less, B: 0.0002% or more and 0.003% or less, Ca: 0.0002% or more and 0.005% or less and REM: 0.0002% or more and 0.03% or less, such that C, S, N, and Ti satisfy the following formulae and, the remainder being Fe and incidental impurities, wherein the high-strength hot-rolled steel sheet has a microstructure in which a ferrite phase fraction is more than 90% by area and in which less than 10% by area in total are cementite, pearlite, bainite, martensite and/or retained austenite, a carbide containing Ti is precipitated, and 70% by number or more of the carbide has a grain size of less than 9 nm, Ti * ≥ 0.1 C × 48 / 12 − 0.14 < Ti * < C × 48 / 12 + 0.08 wherein Ti* = Ti - N x (48/14) - S x (48/32), and C, S, N, and Ti denote the amounts (% by mass) of the corresponding elements, and wherein 50% by mass or more of Ti is precipitated as carbide precipitates containing Ti having a grain size of less than 20 nm, including precipitates of Ti carbide, Ti nitride, Ti sulfide, and/or Ti carbonitride, and/or complex precipitates, such as complex carbide, complex nitride, complex sulfide, and/or complex carbonitride containing Ti and at least one of Nb, V, Cr, and Mo.