Police said William Lepeska screamed, "Anna! Save me!" as he was arrested Jan. 30 from the house three doors down from Kournikova's $5 million home. He is scheduled to make a court appearance Friday.
Lepeska, 40, who has an "Anna" tattoo on his arm, was charged with stalking and burglary, as well as exposing himself in the presence of a child, after the neighbor's 3-year-old daughter saw him lying naked on a lawn chair by the pool.
Lepeska allegedly told police that he was in love with the tennis star and desperate to meet her.
Lawyers for Lepeska and Kournikova did not immediately return phone calls seeking comment.
Ivy Mollenkamp, the tennis player's publicist, said in a statement that the incident "has caused Anna to be very concerned and fearful for her safety."
Police said Lepeska told them he spent months searching for Kournikova's address on the Internet.
He sent her numerous letters and e-mails, and told police he believed Kournikova had left a door unlocked and laid out clothing for him.