A liquid atomizer (1) with battery-powered (1) piezoelectric vibration device (4), of the type timed to occur between alternate activation cycles and rest cycles and including a first electronic supply circuit (2) with an impulse current generator (9) at a relatively high voltage and a second supply circuit (5a) of the piezoelectric vibration device (4) at a relatively low voltage, as well as a switch device (10, 11) apt to connect in alternate phases the supply of the piezoelectric vibration device (4)—in a same actuation cycle—to the first circuit and to the second circuit. An actuation method of the atomizer is also described.