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, the control device comprising: - manual-control means (12, 22); and - a circuit arrangement that includes: - control means (MC, Q1); - electrical-interconnection means (47, 25d+, 25d-); - detection means (45, 50; 45', 50', 50", 63, 67), configured for detecting actuation of the manual-control means (12, 22) and supplying corresponding signals to the control means (MC, Q1); and - a supporting structure (21, 23), which can be associated in a stationary way with respect to a gas tap, wherein the supporting structure (21, 23) includes a first part of stationary structure (40, 41) that defines a housing for at least part of the circuit arrangement, the first part of structure (40, 41) being designed for being housed within a body (2, 3) of the gas appliance, wherein the manual-control means (12, 22) comprise first manual-control means (12, 51; 12, 51') configurable for mechanical connection to a control rod of the gas tap, the first manual-control means (12, 51; 12, 51') including a knob defining a cavity, wherein the control means (MC, Q1) are designed for counting the time and the circuit arrangement includes electrical or electronic display means (D; D'), said device being characterized in that: - the supporting structure (21, 23) includes a second part of stationary structure (43, 44; 70) projecting from the first part of stationary structure (40, 41) and configured for supporting the electrical or electronic display means (D, D') in a fixed position, such that in an installed condition of the device the second part of structure (43, 44; 70) projects on the outside of the body (2, 3) of the gas appliance, - housed at least partially in the cavity of the knob is at least one of the second part of stationary structure (43, 44; 70) and the electrical or electronic display means (D, D'), the knob being angularly rotatable with respect to the second part of stationary structure (43, 44; 70) and to the electrical or electronic display means (D, D') and having a front opening or window (12c; 12c', 69). - manual-control means (12, 22); and - a circuit arrangement that includes: - control means (MC, Q1); - electrical-interconnection means (47, 25d+, 25d-); - detection means (45, 50; 45', 50', 50", 63, 67), configured for detecting actuation of the manual-control means (12, 22) and supplying corresponding signals to the control means (MC, Q1); and - control means (MC, Q1); - electrical-interconnection means (47, 25d+, 25d-); - detection means (45, 50; 45', 50', 50", 63, 67), configured for detecting actuation of the manual-control means (12, 22) and supplying corresponding signals to the control means (MC, Q1); and - a supporting structure (21, 23), which can be associated in a stationary way with respect to a gas tap, wherein the supporting structure (21, 23) includes a first part of stationary structure (40, 41) that defines a housing for at least part of the circuit arrangement, the first part of structure (40, 41) being designed for being housed within a body (2, 3) of the gas appliance, - the supporting structure (21, 23) includes a second part of stationary structure (43, 44; 70) projecting from the first part of stationary structure (40, 41) and configured for supporting the electrical or electronic display means (D, D') in a fixed position, such that in an installed condition of the device the second part of structure (43, 44; 70) projects on the outside of the body (2, 3) of the gas appliance, - housed at least partially in the cavity of the knob is at least one of the second part of stationary structure (43, 44; 70) and the electrical or electronic display means (D, D'), the knob being angularly rotatable with respect to the second part of stationary structure (43, 44; 70) and to the electrical or electronic display means (D, D') and having a front opening or window (12c; 12c', 69).