Brogan, who is also the former political editor of the Daily Mail, takes over from Dominic Morris, who is moving into "partial retirement" after five years at the group.
In a statement, Lloyds Banking Group said Brogan would have responsibility for leading the bank’s engagement with government, legislators and regulators in the UK and European Union.
Matt Young, group corporate affairs director, said: "We are delighted that Benedict is to join Lloyds. His experience and talent will be considerable assets to the group in what remain challenging times for the banking sector.
"We would also like to thank Dominic for his achievements with the group. I am pleased that he will remain with the group part-time in 2015 on specific projects so we can continue to draw on his experience."
Lloyds said Morris would be involved in portfolio-based work, including a part-time role in the telecommunications and media sector.
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