An -elect is a political candidate who has been elected to an office but who has not yet been sworn in or officially taken office. These may include an incoming president, senator, representative, governor and mayor.
Analogously, the term "designate" (e.g. Prime Minister-designate) is used in systems without direct elections of executive politicians, such as in parliamentary systems.
In the United States, a person elected to office at the state or federal levels, and sometimes by custom at local levels, is given the courtesy title of the Honorable (abbreviated to Hon. or Hon'ble).