The "Dawson's Creek" alum posted a sweet message on Instagram.
"Yes she Cannes. Having witnessed the integrity and dedication that you bring to every job, I'm over the moon to see you getting the recognition you deserve. Only question is what took 'em so long! CONGRATULATIONS, Josh," Jackson, 38, wrote.
Kruger, 40, won the award for her performance in the German drama "In the Fade," a film about the aftermath of a terrorist bombing.