A gas appliance control device, in particular for appliances that comprise at least one gas tap having a safety valve that includes an electromagnet (EM) that can be supplied via a thermo-electric generator (TC), wherein the control device comprises: - a manual-control means , which is movable, in particular rotatable, with respect to a first axis (A) for setting a time interval; - a circuit arrangement that includes: - control means (MC, Q1), - first electrical-connection means , configured for connection to an electromagnet (EM) of a safety valve; - second electrical-connection means (25d+; 25d-), configured for connection to a thermo-electric generator (TC); - sensor means , configured for detecting movements of the manual-control means and supplying corresponding signals to the control means (MC, Q1), the sensor means including a movable part that can be set in motion following upon a movement of the manual-control means ; - a supporting structure , which is configured to be associated in a stationary way with respect to a gas tap , the supporting structure being designed to be housed at least in part within a body of a gas appliance , wherein the control means (MC, Q1) are configured for modifying the state of an electrical connection between the first electrical-connection means and the second electrical-connection means (25d+, 25d-) upon expiry of the aforesaid time interval, wherein at least one of the manual-control means and the supporting structure has an axial cavity or defines at least part of a passage , configured to receive a corresponding part of the gas tap , the control device being characterized in that the movable part of the sensor means is movable, in particular rotatable, with respect to a second axis (B), and in that operatively set between the manual-control means and the movable part of the sensor means is a transmission arrangement (28-30). - a manual-control means , which is movable, in particular rotatable, with respect to a first axis (A) for setting a time interval; - a circuit arrangement that includes: - control means (MC, Q1), - first electrical-connection means , configured for connection to an electromagnet (EM) of a safety valve; - second electrical-connection means (25d+; 25d-), configured for connection to a thermo-electric generator (TC); - sensor means , configured for detecting movements of the manual-control means and supplying corresponding signals to the control means (MC, Q1), the sensor means including a movable part that can be set in motion following upon a movement of the manual-control means ; - a supporting structure , which is configured to be associated in a stationary way with respect to a gas tap , the supporting structure being designed to be housed at least in part within a body of a gas appliance , - control means (MC, Q1), - first electrical-connection means , configured for connection to an electromagnet (EM) of a safety valve; - second electrical-connection means (25d+; 25d-), configured for connection to a thermo-electric generator (TC); - sensor means , configured for detecting movements of the manual-control means and supplying corresponding signals to the control means (MC, Q1), the sensor means including a movable part that can be set in motion following upon a movement of the manual-control means ; - a supporting structure , which is configured to be associated in a stationary way with respect to a gas tap , the supporting structure being designed to be housed at least in part within a body of a gas appliance , <EOS>