Mr Mueller's office said the report by Buzzfeed News was "not accurate".
The website said that Cohen had told investigators that Donald Trump had instructed him to lie about plans to build a Trump Tower in Moscow.
Mr Trump later denied the report saying his ex-lawyer had lied to investigators to "reduce his jail time".
Responding to the special counsel's statement, Buzzfeed editor-in-chief Ben Smith tweeted that he stood by the story.
Read More (...)