Muller lost out in the fight for the title to Briton Rob Huff in 2012 while their Chevrolet factory team - which also ran a Cruze for Alain Menu - announced they would be pulling out of the series.
Muller was subsequently handed a drive with customer squad RML.
"After a long winter I’m eager to start the new season," he said. "I am confident that with Lukoil’s support I will be able to fight for the world title.
"But competition will be tough. There are again a lot of fast drivers and good teams in WTCC. I believe that the Honda factory team are the favourite, so we must focus on running always at one hundred percent to beat them."
Evgeniy Malinovsky, Lukoil motorsport development director, commented: "Lukoil’s WTCC programme provides our company with great opportunities for developing and promoting its brand all over the world.
"Together with LADA we present modern domestic products on a global market and develop Russian drivers. It’s very important for both companies in terms of marketing and sport.
"Last year with Gabriele Tarquini and support from SEAT Sport we won the Yokohama Teams’ Trophy. Now we have made a significant step forward, being partner of a Russian manufacturer.
"On top of this we decided to support Yvan Muller. Now we have three fast drivers and two professional teams united under the Lukoil brand, which gives us reasons to be optimistic."
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