Kinnear has been promoted from the role of head of marketing, having been with Arsenal for five years. He was previously at Procter & Gamble and headed sports and youth marketing at Coca-Cola Great Britain.
Kinnear has been responsible for Arsenal's domestic and international marketing activities, including the move to the Emirates Stadium.
The club is also hiring four other senior executives – a retail director, a business development analyst, a head of global partnership development, and a head of marketing.
Arsenal aims to improve its marketing around membership activities in order to expand the 190,000 supporters officially registered with the club.
In August the club appointed veteran US sports marketer Tom Fox as its chief commercial officer. Fox's CV includes stints with the National Basketball Assocation (NBA), Nike and Gatorade.
Ivan Gazidis, chief executive at Arsenal, said: "This major restructuring of our commercial talent will enable us to make great strides in our worldwide commercial operation.
"This substantial investment, made possible even in such challenging economic times by our strong self-sustaining business model, will help us to drive our business forward and expand our global reach.
"We look forward to welcoming the new additions to our commercial team, who under the guidance of Tom Fox, will be a huge asset to our overall operation".
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