Franz Tunder was Dieterich Buxtehude's predecessor as organist of St. Mary's Church in Lübeck. Tunder's elder daughter, Anna Margareta, married Buxtehude in 1668, making Tunder Buxtehude's father-in-law.
After Tunder's death in 1667, Buxtehude became his successor at St. Mary's Church in Lübeck. Buxtehude also continued the Abendmusiken tradition that Tunder had begun in 1646.