He will take up his new role at the beginning of October, reporting to the managing director, John Hiney.
Scott Bedford, the agency's digital creative director, who recently joined from Syzygy, and Mark Attrill, the existing creative director, will report to him, as will the rest of the 20-strong creative department.
Lines will be responsible for creative across all Carlson clients, which include Hyundai, Royal Bank of Scotland, Coca-Cola and Transport for London, which the agency was awarded in July.
Lines has been a creative director at DLKW since November 2005, and has worked on accounts including Halifax, Intelligent Finance and BAA. He was appointed to lead the agency's creative department in 2006.
His appointment follows that of Guy Culshaw, who recently joined Carlson from EHS Brann as the head of planning.
Lines said: "This wasn't about finding a new agency for me, it was about finding a group of like-minded, determined individuals who could deliver the future of brands. I found it in Carlson."
Jonathan Harman, the chief executive of Carlson, said: "Piggy is the right person to take our creative product to the next level."
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