Besson said that he would only consider another film if he had a strong concept, reported Digital Spy.
Besson admitted that he has had a number of requests for a sequel, including enquiries from Universal over the possibility of a second instalment.
"I don't see how we can do one. It's not made for that. If I find something good enough, maybe I will, but for now I don't even think about it," Besson said.
Lucy has so far grossed nearly $170 million worldwide, and Besson believes its late summer opening has helped it succeed as the film offers something "totally weird and strange", and a welcome change from this summer's franchise releases.
The film stars Scarlett Johansson as a woman who develops incredible physical and mental abilities after ingesting a drug.