He alleged Smith was stopped on suspicion of a driving offence, but quickly released after he made the phone call.
Despite being taken into the police station, the material said to have been found in his boot disappeared, Mr Danczuk said.
A Freedom of Information Act request from the BBC asked Northamptonshire Police for "any information held by the constabulary relating to the arrest on the M1 during the 1980s" of Cyril Smith.
The constabulary said that other than a press release from March, it could "neither confirm nor deny that it holds any other information" relating to the case.
In doing so the force cited
Section 23(5) of the act which concerns "information supplied by or concerning certain security bodies".
The force did not specify which branch of the security services it is referring to.
It also cited a number of other exemptions under the act, including those relating to law enforcement, personal information and investigations.
Ivan Balhatchet, assistant chief constable, said the force was committed to "complete and utter transparency" and said leads from Mr Danczuk were being "followed up".