The Turner Prize, which has been running since 1984, is worth £40,000 in total - £25,000 goes to the winner and £5,000 to the other three artists. The artist must be based in Britain and under 50 years of age.
Mark Leckey, Cathy Wilkes, Runa Islam and Goshka Macuga are the four artists in the running for this year's prize, which is very sculptural and film focussed.
Thomson is calling for more figurative painters to be included in the prize and singles out Stella Vine as a painter who should have been nominated this year.
"The majority of artists in this country are figurative painters, yet none is represented," he said. "Surely one of the nominees should have been Stella Vine, whose show at Modern Art Oxford gained considerable critical approval. She is another figurative painter, who has been completely ignored."
It's the eighth year running that the Stuckist have protested against the Turner Prize and a new Stuckist leaflet printed for this year calls it "an annual media circus created by the Tate Gallery in order to showcase the most bland and pretentious art currently produced in Britain."
It also has a spoof police '(not) wanted' poster accusing Serota of "crimes against art" and urging the public to sign the Stuckists' petition on the prime minister's web site against Serota's directorship of the Tate.
As if that wasn't enough to get the message across the Stuckists are also handing out button badges with the text, "The Turner Prize is crap."