A rubber composition for tires of the present technology contains a diene rubber, silica, and a predetermined alkyltrialkoxysilane; the diene rubber containing a butadiene rubber and a particular conjugated diene rubber, a content of the butadiene rubber in the diene rubber being 20 mass % or greater and a content of the particular conjugated diene rubber in the diene rubber being from 30 to 80 mass %; an average glass transition temperature of the diene rubber being from −65 to −45° C.; the particular conjugated diene rubber being a conjugated diene rubber produced by a particular production method and having predetermined ranges of aromatic vinyl unit content, vinyl bond content, and weight average molecular weight.