A method for producing a multi-layer ceramic substrate comprising the steps of (a) finely pulverizing a ceramic material comprising 10-60% by mass, calculated as Al2O3, of Al, 25-60% by mass, calculated as SiO2, of Si, 7.5-50% by mass, calculated as SrO, of Sr, and 0-20% by mass, calculated as TiO2, of Ti as main components, the total amount of Al2O3, SiO2, SrO and TiO2 being 100% by mass, which is calcined at 700° C. to 850° C., (b) preparing low-temperature-sinterable green substrate sheets from a slurry containing the resultant fine powder of the calcined body and an organic binder, (c) laminating said green substrate sheets after forming electrodes thereon, to form an unsintered multi-layer ceramic substrate, (d) bonding a constraining layer comprising inorganic particles which are not sintered at the sintering temperature of said unsintered multi-layer ceramic substrate, and an organic binder, to upper and/or lower surfaces of said unsintered multi-layer ceramic substrate having said external electrodes, to form an integral laminate, (e) sintering said integral laminate at 800° C. to 1000° C., and (f) removing said constraining layer from said laminate.