In order to replace a lost identification card, DMV.org states that you must visit a local Department of Motor Vehicles office to obtain a new one. The process will be the same as when you first obtained the lost ID.
As with the first time you received your ID, you will have to complete an application and provide documents that prove citizenship and residency. You may or may not have to take a new identification photo, according to DMV.org, depending on whether the office has the original photo from the old ID and if it's still current by their standards.
A thumbprint will be taken and you will have to pay a fee for the new card, which varies from state to state, advises DMV.org. You may not have to bring in the new ID application in person and can send it in the mail, depending on the state you reside in. In addition to not having to go to a physical DMV office, you may be able to pay for the new ID card online, but in some states this service requires an extra fee. The length of time it will take for the new ID to be mailed varies state by state.