Paltrow, who testified for about three hours, told the court she feared for the safety of her family and said at least one of the letters had arrived directly to her Los Angeles home.
Soiu's attorney, Lynda Westlund, told the court he was harmless and said Paltrow misinterpreted his letters, many of which were biblical in nature and meant as religious messages to the actress, CNS said.
Soiu has pleaded not guilty to one felony count of stalking.
This is the second time Soiu, of Columbus, Ohio, has faced trial on charges of stalking Paltrow. He was found not guilty by reason of insanity in a 2001 trial.
He spent more than three years in a mental health facility after [that] trial, CBS News reported.
Also see: Psychology Today on The Mind of a Stalker