In most forms of city government, it would be the mayor.
However, in other forms of city government, the head of the City Council would act as executive branch head, while in others, a City Manager position exists which heads the executive branch.
Overall, many forms of local government are more fluid in their form that larger state and federal governments. They tend to be functional forms of government, and not highly formalized; as such, many City Councils actually perform significant Executive Branch duties as well as Legislative Branch duties. As such, the boundaries between the Executive, Legislative, and even Judicial branches at the local government level are often significantly blurred.
The "head executive" of city governments in the USA and UK (and most countries who had British rule in history) have a Mayor or City Manager.
Duties of a Mayor or City Manager (i.e. Executive)
Each city in the United States has their own administration. The head executive in the city administrations are the mayors.
In speaking about the United States, the chief executive of a state is the position of governor.
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The executive head of a local government like a city is called the mayor. In some jurisdictions he may be called the City Manager.
a mayor, or in some places, a provost
Most often it is the mayor.
Governors or mayors, depending if its a city or country ect.
The mayor is head of city government. Some larger counties have mayors too. The mayor is the executive branch on the smallest level.