The suit, filed in Manhattan federal court, seeks more than $25,000 in damages from Klum's company Heidi Klum GmbH and Mouawad USA, another company she has designed jewelry for.
It said both companies attempted to gain benefit from Van Cleef's esteemed reputation by creating and selling a similar clover design from Van Cleef's vintage Alhambra jewelry line.
Van Cleef & Arpels Inc is owned by luxury goods group Richemont.
Klum is married to British singer Seal and has three children. She hosts the Bravo reality cable television show "Project Runway," which features aspiring designers vying for a chance to get a start in the fashion world.
She gained fame in the late 1990s modeling lingerie for retailer Victoria's Secret and swimsuits, most notably on the cover of Sports Illustrated magazine's popular swimsuit edition.