A fluidized-bed boiler integrating a multifunctional inertia-gravity separator and a plurality of models of boilers, the fluidized-bed boiler being a steam boiler, a hot-water boiler or a phase-transformation boiler, the fluidized-bed boiler comprising a hearth, a single/double horizontal drum, a vertical single-drum/double-drum, vertical and horizontal headers, vertical and horizontal membrane wells, a primary high-temperature inertia-gravity water-cooling separator, a secondary low-temperature inertia-gravity water-cooling separator(a double-stage inertia-gravity water-cooling separator), a single-stage high-temperature water-cooling inertia-gravity separator, an equalizing, separating and heat storing device, a membrane water-cooling wall shaft, a shell shaft and a dry-wall shaft, the primary, secondary and single-stage inertia-gravity separators comprising a guiding gas-solid directly-raising storage bin water-cooling wall, a guiding fume directly-raising storage bin spacer, a downward flue, an upward flue, a turning passage, a large capacity-capacity-expanding space, a storage bin and a back-feeding device, characterized in that the primary high-temperature water-cooling inertia-gravity separator is disposed in a space between the rear wall of the hearth and the front wall of the shaft; the secondary low-temperature water-cooling inertia-gravity separator is disposed at the height-equal border of the lower end of a multi-stage over-heater or coal economizer within the shaft and a bending point of the lower end of a vertical segment of the rear wall of the primary high-temperature separator, and extends downward; a fume inlet is separately provided in the front upper part of each of the two-stage separators, and a fume outlet is separately provided in the rear upper part thereof; and the front sidewall and a rear sidewall are a heated water-cooling wail and an insulating wall, which are integrated to the main body of the boiler.