Driving Under the Influence Definitions DUI: Driving Under the Influence DWI: Driving While Intoxicated OUI: Operating Under the Influence These terms may vary depending on the state in which they are received. Some states may refer to drunken or impaired driving as a DWI, while others may consider it to be a DUI. While some states, such as Michigan give this charge a completely different name, and refer to impairment behind the wheel as an OUI, or operating under the influence. The tricky part is