Beyonce has NO right to trademark her daughter’s name for a bunch of different products … according to a company that already has the name.

Blue Ivy, the company, filed docs to block Bey’s company from getting the trademark. TMZ broke the story … Blue Ivy’s mom filed her application earlier this year to own the name “Blue Ivy Carter” for a slew of products — cosmetics, mobile devices, video games, etc …

But according to the existing company — which was in biz 3 years before Jay Z and Beyonce’s kid was born — the Carters are trying to pull a fast one. Blue Ivy’s owner Veronica Morales points out Jay is on record as saying they have NO intention of actually selling any products … they’re just trying to stop others from doing it.

This is the second time the company — an event planning firm, btw — has tried to block Beyonce … who initially tried to get the trademark without “Carter.” Adding the last name hasn’t helped.