Shadow culture minister Jeremy Hunt complained that Booth had breached rules governing non-departmental public bodies when he criticised the Conservative Party's attitude towards the BLF during an interview with Third Sector.
Hunt's complaint was originally addressed to the Cabinet Secretary, Sir Gus O'Donnell, but has now been transferred to the DCMS. A spokeswoman for the department said: "We have received correspondence from the Cabinet Office in relation to an issue about Sir Clive Booth, but it is not appropriate for us to comment at this stage."
A spokesman for Jeremy Hunt said he could not comment.
Booth was appointed as BLF chair in December 2006 and is contracted to remain in the job until 30 November 2010.