An object of the present invention is to realize a combustion control device that reduces, when a pressure within a mixer is rapidly increased at the time of ignition of the combustion control device, the transmission of the temporarily increased pressure to a pressure sensor, that brings the pressure sensor into a non-operated state and that thereby can continue combustion in the combustion control device. Hence, a combustion control device is provided that includes: a combustion chamber which has a heat dissipation disc on a front surface and within which a combustion room is formed; a burner which is attached to the combustion chamber; a mixer which mixes a gas supplied to the burner with air; and a pressure sensor which is connected to the mixer through a pressure passage, where a pressure propagation delay means which reduces transmission to the pressure sensor caused by a temporary pressure increase within the mixer is provided partway along the pressure passage.