Frans van der Mijn, was an 18th-century painter from the Northern Netherlands.

According to the Netherlands Institute for Art History (RKD) he was the son of Herman van der Mijn and was born when his father moved to Düsseldorf to work for Johann Wilhelm, Elector Palatine. He influenced the painter James Latham. He worked in Amsterdam during the years 1742-1748 and worked in the Hague before returning to England where he worked on portraits and sent a painting in to the London Society of Artists each year during 1761-1772.

In 1750 Johan van Gool wrote about him, his father, his brothers Robert, George, Andreas and Gerard, and his sister Cornelia who were all good painters. In 1808 Edward Edwards wrote the following about him: "Frank Vandermine, or Vander Mijne: A native of Holland, who lived many years in England, and practised as a portrait painter, both in London and the country. He was some time at Norwich, where he painted several heads. He had considerable merit as an artist, but was of mean address and vulgar manners: He loved smoking and drinking, nor would forego his pipe, though it was offensive to his employers, so that he never acquired the practice which he might otherwise have obtained. He boasted, that after he had painted a portrait, the likeness remained so strong upon his memory, that if the picture were immediately obliterated, he could repaint the resemblance without the assistance of the sitter. He died in indigent circumstances, at his apartments in Moorfields, some time in 1783.