A gas appliance control device, in particular for appliances that comprise at least one gas tap having a safety valve that includes an electromagnet that can be supplied via a thermo-electric generator, wherein the control device comprises: - a manual-control means, which is movable, in particular rotatable, with respect to a first axis for setting a time interval; - a circuit arrangement that includes: - control means (MC, Q1), - first electrical-connection means, configured for connection to an electromagnet of a safety valve; - second electrical-connection means (25d+; 25d-), configured for connection to a thermo-electric generator; - sensor means (28b, 44), configured for detecting movements of the manual-control means and supplying corresponding signals to the control means (MC, Q1), the sensor means (28b, 44) including a movable part (28b, 44a) that can be set in motion following upon a movement of the manual-control means; - a supporting structure (21, 23), which is configured to be associated in a stationary way with respect to a gas tap, the supporting structure (21, 23) being designed to be housed at least in part within a body (2, 3) 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 (29, 42, 41b), configured to receive a corresponding part (10a, 11) of the gas tap, the control device being characterized in that the movable part (28b, 44a) of the sensor means (28b, 44) is movable, in particular rotatable, with respect to a second axis, and in that operatively set between the manual-control means and the movable part (28b, 44) of the sensor means (28b, 44) is a transmission arrangement. - a manual-control means, which is movable, in particular rotatable, with respect to a first axis for setting a time interval; - a circuit arrangement that includes: - control means (MC, Q1), - first electrical-connection means, configured for connection to an electromagnet of a safety valve; - second electrical-connection means (25d+; 25d-), configured for connection to a thermo-electric generator; - sensor means (28b, 44), configured for detecting movements of the manual-control means and supplying corresponding signals to the control means (MC, Q1), the sensor means (28b, 44) including a movable part (28b, 44a) that can be set in motion following upon a movement of the manual-control means; - a supporting structure (21, 23), which is configured to be associated in a stationary way with respect to a gas tap, the supporting structure (21, 23) being designed to be housed at least in part within a body (2, 3) of a gas appliance, - control means (MC, Q1), - first electrical-connection means, configured for connection to an electromagnet of a safety valve; - second electrical-connection means (25d+; 25d-), configured for connection to a thermo-electric generator; - sensor means (28b, 44), configured for detecting movements of the manual-control means and supplying corresponding signals to the control means (MC, Q1), the sensor means (28b, 44) including a movable part (28b, 44a) that can be set in motion following upon a movement of the manual-control means; - a supporting structure (21, 23), which is configured to be associated in a stationary way with respect to a gas tap, the supporting structure (21, 23) being designed to be housed at least in part within a body (2, 3) of a gas appliance,