A hybrid heating apparatus comprising: a liquid fuel combustion burner device configured to start combustion upon receipt of a start combustion command, to stop the combustion upon receipt of a stop combustion command, and to perform combustion according to a combustion amount indicated by a combustion control command upon receipt of the combustion control command; an electric heater device configured to start power supply to a heater portion (H) upon receipt of a start power supply command and to stop the power supply to the heater portion (H) upon receipt of a stop power supply command; and a control device comprising a command generating section , the command generating section configured to output the start combustion command, the stop combustion command, the start power supply command, and the stop power supply command according to one of predetermined control modes, the hybrid heating apparatus further includes a liquid fuel sensor configured to detect running out of a liquid fuel; and the control device being configured to perform the predetermined control modes including an out-of-fuel handling mode in which the command generating section is configured to output the stop combustion command when the liquid fuel sensor detects running out of the liquid fuel; the command generating section being further configured to subsequently output the start power supply command; and characterized in that : the command generating section is configured then to output the stop power supply command when a predetermined minimum period of power supply elapses after the start power supply command has been output. a liquid fuel combustion burner device configured to start combustion upon receipt of a start combustion command, to stop the combustion upon receipt of a stop combustion command, and to perform combustion according to a combustion amount indicated by a combustion control command upon receipt of the combustion control command; an electric heater device configured to start power supply to a heater portion (H) upon receipt of a start power supply command and to stop the power supply to the heater portion (H) upon receipt of a stop power supply command; and a control device comprising a command generating section , the command generating section configured to output the start combustion command, the stop combustion command, the start power supply command, and the stop power supply command according to one of predetermined control modes, the hybrid heating apparatus further includes a liquid fuel sensor configured to detect running out of a liquid fuel; and the control device being configured to perform the predetermined control modes including an out-of-fuel handling mode in which the command generating section is configured to output the stop combustion command when the liquid fuel sensor detects running out of the liquid fuel; the command generating section being further configured to subsequently output the start power supply command; and characterized in that : the command generating section is configured then to output the stop power supply command when a predetermined minimum period of power supply elapses after the start power supply command has been output. <EOS>