An apparatus for driving a hot-wire air-flow sensor of constant temperature difference type includes a hot wire and a temperature sensitive compensating element such as a resistor for compensating temperature of air. The hot wire and the resistor are formed of identical elements. A pulse train signal having a pulse width varying in correspondence to difference between voltage drops produced, respectively, across the hot wire and the compensating resistor supplied with a constant current is produced for interrupting the current supplied to the hot wire.