The invention discloses a heat accumulating type condensing and energy saving boiler for high energy fuel, which comprises a boiler body. Two or more combustors are arranged in the boiler body, a high-temperature combustion-supporting air inlet opening and a fuel spraying opening are arranged on the combustor, a checker chamber is connected with the high-temperature combustion-supporting air inlet opening, a normal temperature combustion-supporting air inlet and a low-temperature flue gas outlet are connected with the checker chamber, a direction change device is arranged between the normal temperature combustion-supporting air inlet and the low-temperature flue gas outlet, and a condensing heat recoverer is connected with the low-temperature flue gas outlet. On one hand, when the fuel gas is discharged, the waste heat of the fuel gas is recovered through the checker chamber and the condensing heat recoverer, thereby the heat energy loss is reduced, and the combustion efficiency is enhanced; on the other hand, after passing through the checker chamber, the normal temperature combustion-supporting air assists in combustion supporting, and thereby the combustion temperature can be increased; thirdly, a plurality of combustors adopts periodic reversing combustion, thereby the partial high temperature zones in the combustors are avoided, and the internal temperature distribution of the combustors is more uniform. The boiler is applied to various gas fired boilers.