Issues drivers' licenses

In the United States, driver's licenses are issued by each individual state and the territories (including Washington, D. C.), rather than the federal government because of the political concept of federalism. Drivers are normally required to obtain a license from their state of residence and all states recognize each other's licenses for temporary visitors subject to normal age requirements. A state may also suspend an individual's driving privilege within its borders for traffic violations. Many states share a common system of license classes, with some exceptions, and commercial license classes are standardized by federal regulation at 49 CFR part 383.[1][2]

Do you mean who issues driver's licence in the US?

Drivers lincenses are issed by the individual states in the US and territories (such as Washington). In each state different agency is responsible for issuing the driver's licence, and for example in California it's California Department of Motor Vehicles.