Bolt shaved 0.01 seconds off the previous best time of 2013, set by American sprinter Tyson Gay at the US trials last month.
Fellow Jamaican Warren Weir was second in 19.92, ahead of former European champion Christophe Lemaitre in 20.07.
Bolt will next compete in the 100 and 4x100 relay in London on July 26-27 in a one-year anniversary event for the 2012 Olympics. That will be his final major meeting before the worlds, which start on August 10.
The Areva Meeting is the ninth leg in the Diamond League circuit. The next leg is the Herculis meeting in Monaco on July 19.