Cumbria County Council has ruled out an option to have an elected mayor.
Councillors have voted to adopt a leader and cabinet-style administration, similar to the existing set-up at the authority.
Recent government legislation requires all local authorities to adopt one of the two decision-making arrangements.
Under the selected option, councillors will elect a leader for a four-year term. A mayor would have been directly elected by the public.
The new model will be adopted after the next local elections, expected in May or June next year.
The leader will appoint between two and eight members to form a cabinet and take decisions.
The council can remove the leader on a vote of no confidence.