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Besson spent 11 days in Taipei filming "Lucy" with Johansson, who plays a drug mule whose contact with a "super-serum" endows her with superhuman abilities.
Meeting reporters in Taipei a day after he finished shooting the Taiwan part of the film, Besson blasted the paparazzi for dogging the production, saying it was his right as a director to keep details, such as Johansson's hair style and her wardrobe, out of the public eye until "Lucy" is released.
"We don't want pictures with new dresses of Scarlett," he said. "Sometime I lost a bit of my concentration because I'm bothered by that."
"Shooting at nighttime was a nightmare" because of constant paparazzi intrusions, he said.
Besson singled out two unnamed agencies from Hong Kong for special condemnation, but labeled as incorrect news reports that he wanted to leave Taiwan early to register his disapproval of their actions.
"I read in the newspaper that I was ready to leave," he said. "This is wrong."
Besson also said it was incorrect to say that drug smuggling was the focus of the film, saying it comprised only a very small part.
"The film is about pure intelligence," he said, declining to elaborate. "We're basically using 10 percent of our brain. What happens when we use more?"
Besson said work on the film would take another year, and that it was still too early to talk about a release date.