The publisher won the brief after a competitive pitch against a number of undisclosed agencies.
Elevate, published twice a year, will target entrepreneurs with its first issue coming out in May.
Sister title Bespoke, also a biannual title, will target private clients and high-net worth individuals and will launch in June. The two titles will be mailed directly to clients.
Seven Squared said the titles will be "clear, imaginative and bold" in style and that content will be designed to give the magazines a long shelf life.
Seven Squared will also create online content for the accountancy firm, which will include podcasts featuring business and cultural figures.
Seven Squared, which is waiting to see if it has scooped the brief for RBS's flagship magazine, Sense, from rival John Brown, was set up in 2007 following the acquisition of Square One Publishing by Seven Customer Publishing.
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