WASHINGTON—Roger Stone, a longtime friend and adviser to Donald Trump, told members of the House Intelligence Committee on Tuesday that he had no involvement in what U.S. officials have called a Russian campaign of interference and disinformation during the 2016 presidential election.

Speaking to reporters after his closed-door interview on Capitol Hill, Mr. Stone said that “a substantial amount” of the questioning focused on his interactions with entities and organizations that helped disseminate stolen emails aimed at embarrassing...