Embodiments of overvoltage protection devices and a method for operating an overvoltage protection device are disclosed. In an embodiment, an overvoltage protection device includes a switch circuit connected between an input terminal from which an input voltage is received and an output terminal from which an output voltage is output and including multiple NMOS transistors and multiple PMOS transistors connected in series between the input terminal and the output terminal, a first voltage generation circuit configured to, generate a first voltage that is applied to the NMOS transistors and a second voltage that is applied to a body of each of the PMOS transistors, in response to the input voltage and a supply voltage, and a second voltage generation circuit configured to generate a third voltage that is applied to the PMOS transistors in response to the input voltage and the first voltage.