Entertainment Weekly reports that the actor is expected to star in three episodes of the show, beginning with the season premiere.
Show will play a CIA operative called Max, but further details of his storyline and character have not yet been revealed.
Show has previously starred in shows including Melrose Place, Dirt, Swingtown and Accidentally on Purpose.
He recently reprised his role as Archer Montgomery in Private Practice and has been starring in the final season of Big Love.
Burn Notice is expected to return for its fifth season this summer on USA Network.