A honeycomb carrier for an exhaust gas-cleaning catalyst to clean e.g. an exhaust gas of an automobile particularly containing NOx, wherein the material for the honeycomb carrier is an aluminum magnesium titanate sintered product obtained by firing at from 1,000 to 1,700° C. a molded product formed from a raw material mixture comprising 100 parts by mass, as calculated as oxides, of a mixture comprising a Mg-containing compound, an Al-containing compound and a Ti-containing compound in the same metal component ratio as the metal component ratio of Mg, Al and Ti in an aluminum magnesium titanate represented by the empirical formula MgxAl2(1+x)Ti(1+x)O5 (wherein 0≦x≦1), and from 1 to 10 parts by mass of an alkali feldspar represented by the empirical formula (NayK1−y)AlSi3O8 (wherein 0≦y≦1).