The unnamed 22-year-old man was arrested after officers on the Shannon Matthews case carried out inspections on a number of computers.
West Yorkshire Police said the man was being quizzed about the pictures.
Michael Donovan, 39, of Lidgate Gardens, Dewsbury, West Yorks, has been charged with kidnapping Shannon.
West Yorkshire Police said in a statement: "During inquiries by the Shannon Matthews investigation team, the contents of a number of computers have been examined.
"As a result of this work, police have arrested a 22-year-old man from the Dewsbury Moor area on suspicion of possessing indecent images of children.
"He is currently being questioned at a West Yorkshire Police Station."