The invention discloses a glass melter energy-saving combustion device using high-energy fuel and a method thereof. A plurality of burners are arranged on the melter wall, and each burner is connected with an air regenerator. During the process of combustion, the combustion is conducted in a part of burners is in combustion and the other part of burners carries out smoke venting, and the switch is conducted periodically. On the one hand, during high-temperature smoke venting, the smoke-venting temperature is lowered and the heat-energy loss is reduced by recovering the waste heat of the fume at the air regenerator; on the other hand, the waste heat recovered from the fume is used to preheat the constant-temperature combustion air, and as a result, the combustion efficiency is improved. The invention is applicable to various melters, particularly applicable to glass melters.