Tom Brokaw is being accused of making inappropriate and unwanted advances ... on 2 female co-workers in separate incidents in the 1990s.
One of the women, Linda Vester, claims the veteran broadcast journalist and former anchor of NBC Nightly News sexually harassed her while she was a reporter for NBC on "Weekend Today" in 1994 ... according to a report by The Washington Post.
Vester claims he asked her to have a drink with him, she replied "I only drink milk and cookies" ... and Brokaw later called her room around 3 AM and told her to order the milk and cookies because he was coming over.
She then says he showed up uninvited and attempted to force a kiss on her, jerking her head towards his, but she resisted ... then he left.
The second woman -- who chose to remain anonymous -- says she was a former PA at NBC News when he took her hands and put them under his jacket against his chest. He then invited her to his office later on ... insinuating he wanted to give her more than job advice.
She says she left the company shortly thereafter.
Neither woman reported the incidents when they happened. Brokaw -- who has been married to Meredith Lynn Auld since 1962 -- has denied the allegations.