A host of other British stars have also signed up to the project including Jim Broadbent, Bill Nighy and Imelda Staunton.
The film tells of Santa's ultra-high-tech present delivery operation hidden beneath the North Pole.
It is expected to be released in November next year.
McAvoy will voice Arthur, the clumsy younger son of Santa and the only one in his family still captivated by the magic of the holiday.
Laurie will play Arthur's older brother Steve, the heir to the operation who has given the North Pole high-tech efficiency and military-style precision.
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