Abstract: A boiler is provided with a radiation heat transfer section in its combustion chamber, which has therein, at least one regenerative-heating burner system including a pair of burners each with a regenerative bed. The burners receive combustion air and exhaust combustion gas which passes through the regenerative beds. Combustion is alternately effected in one of the burners and combustion gas is passed into the other burner, and exhausted through the corresponding regenerative bed of this other burner. Surplus thermal energy which is not completely consumed in the radiation heat transfer section is recovered in the regenerative bed. Combustion air than passes through the heated regenerative bed to heat the air. The boiler temperature is kept flat across the boiler. That is, the temperature is kept almost constant across the combustion chamber. This is done by maintaining a high rate of forced supply of more than 60 m/s for the combustion air.