A Colombo magistrate on Friday agreed to a police request to detain the suspect, a British citizen of Sri Lankan origin, for a month and question him, the local Daily Mirror newspaper said.
It quoted court papers which said he was accused of causing "disrepute to the country and the army by providing alleged videos to (Britain's) Channel 4 television" for its documentary "Sri Lanka's Killing Fields".
The paper said the questioning would be carried out by Sri Lanka's Criminal Investigations Department.
The British High Commission in Colombo said it had no immediate information on the case.
The Lakbima daily paper said police had sought the man's detention because he posed a "threat to national security".
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Police spokesman Prishantha Jayakody declined to discuss the case, but confirmed a man was arrested in connection with "supporting terrorist activities".
The arrest came after the military said Wednesday it had original footage that exposed the "malicious intention