BBC presenter Adrian Chiles is reportedly among a number of the corporation's stars to have been sent soiled toilet paper in the post.
Chiles hosts Premiership football round-up Match of the Day 2
Match of the Day 2 host Chiles said he had received about eight packages, which he described as "disgusting".
"The smell is not something you want first thing in the morning," he said.
The BBC would not confirm claims by the Sun newspaper that other presenters had been targeted, adding it did not like to comment on individual cases.
The corporation said in a statement: "From time to time, BBC presenters and staff do receive malicious and nuisance mail, although we do try to intercept it wherever possible.
"We try to avoid commenting on individual cases because, very often, those sending such mail gain pleasure from publicity.
"When we can identify the sender of such materials, they can expect a visit from the police."