The invention belongs to the field of fuel cells, and particularly discloses a combustor for a medium-high temperature solid fuel cell and an application thereof. An air inlet and a fuel inlet are arranged at an inlet end of a static mixing cavity in the combustor and are used for mixing air and fuel to obtain mixed gas; a shunting orifice plate is connected with an outlet end of the static mixingcavity to provide a buffer area for the mixed gas and shunt the mixed gas; a metal mesh structure is connected with the shunting orifice plate, so that the phenomena of tempering and flamelifting areprevented; a combustion chamber is arranged on the outer side of the static mixing cavity and provides a space for mixed gas combustion; and a pulse igniter is arranged above the metal mesh structureand used for igniting the mixed gas. According to the combustor, the shunting orifice plate is utilized to provide the buffer area for the high-flow-rate mixed gas, meanwhile, flame generated by combustion is divided into a plurality of fine flame flows by utilizing the metal mesh structure, and stable gas flow and temperature gradient are formed, so that the phenomena of the tempering and flamelifting are prevented.