In the newly created role, Jensen will report to planning director Mick Byrne working on the agency's BP, Unilever, American Express and IBM accounts.
His task will be to study how consumers and customers interact with brands digitally and use this to develop planning strategies.
Jensen said: "We want to develop new ways to understand the 'total customer experience' with brands, and help our clients define the role of digital within that.
"We know that new technologies are helping customers take control of brand relationships and that content is crucial, but there is a great deal more to find out. Understanding customer experience is vital: as Dell's CIO Jerry Gregoire says, 'it is the next competitive battleground'."
Jensen started his career at at San Francisco agency Hal Riney & Partners in 1994. Before arriving at Ogilvy, he worked in strategic and creative roles for agencies in the US and UK, on brands including BP, Daimler-Chrysler, British Airways, Hewlett-Packard, Sony and Blockbuster.
Mike Dodds, managing director of OgilvyOne said: "Brian's unique background in digital creative leadership, plus his insights into consumer behaviour, make him the perfect choice to lead this team of creative strategists.
"His appointment underlines our commitment to put digital at the heart of our business."
Earlier this month, the WPP-owned Ogilvy Group appointed Bo Hellberg, creative director at the agency's digital arm Ogilvy Interactive, to its board.
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