The job description, which was published yesterday on specialised website www.Graphic-jobs.Com by graphic design agency NSL Studio and has since been removed, sparked a furore on the Internet.
The company has distanced itself from "the anti-Semitic comments that were published on February 2, 2015 on the site," it says on its website, where it also announced having filed a complaint so that a probe can determine "who is responsible for this publication."
NSL Studio had earlier said on its Twitter account that its job ad had been hacked.
SOS Racisme spokeswoman Aline Kremer told AFP: "This is a proven case of public discrimination based on the real or supposed belonging to a race, ethnic group or religion, which is punishable by law."
The organisation has filed a complaint against persons unknown until a probe determines exactly who is responsible.