Ludvig Ludvigsen Munk (1537 in Vejle – 8 April 1602 at Nørlund castle, Funen) was a Danish official and Count.

Along with his stepfather Christoffer Sydney, he was taken prisoner in the Battle of Axtorna (in Halland) on 20 November 1565, but soon regained his liberty.

While he served as Lord of Trøndelag in 1573, he and his officials exceeded their rights and collected taxes or appropriated lands beyond that allowed by law.

The residents sent a committee led by Rolv Halvardsson to Copenhagen to appeal Munk's judgments to King Frederick II, as was their ancient right.

in 1615 Kirsten entered into a morganatic marriage with the widowed King Christian IV of Denmark.