Please note that the air traffic controllers' unions have filed a motion to strike from June 3 through June 5. HOWEVER, they will decide whether or not to exercise that option based on a meeting that is being held Tuesday, May 31.
(Also, for the record, AirFrance pilots are currently conducting a referendum to decide if to strike, dates as yet unpublished so far as I know. Results of the referendum to be known on Monday May 30.)
I will update with what their decision is after the May 31 meeting, but for now, this particular strike is a possibility, not a definite thing.
EDIT June 1 TO ADD: Nothing appears to have come out of yesterday's meeting that has given the air controllers' union cause to lift their motion to strike. Please check with your airline for info.
*EDIT MORNING OF JUNE 2 TO ADD: Two of the biggest (#1 and #3) unions came to agreement with the authorities yesterday evening, and lifted their planned file to strike. The French minister in charge of the transport sector announced that therefore air traffic will operate as normal for June 3-5. ((Please note there is a *separate action today, June 2, that will see 10% of flights into/out of Paris Orly cancelled, as well as from a few other airports within France. If you are flying internally in France today, please check info with your airline.)
Phew, some good news for once!!