The widespread claims about Reincken's exceptional longevity stem from Johann Mattheson, who, writing in 1722, gave his date of birth as 27 April 1623. However, Reincken himself stated that his birthplace was Deventer, and no records were found there to support Mattheson's claim. A "Jan Reinse" was baptized in Deventer on 10 December 1643; this is the date currently accepted by most scholars, although it is in many ways as problematic as that given by Mattheson. Reincken received primary music education in Deventer in 1650–1654, from Lucas van Lennick, organist of the Grote kerk. In 1654 he departed for Hamburg to study under Heinrich Scheidemann, a pupil of Jan Pieterszoon Sweelinck, organist of St. Katharine's Church. In 1657 he returned to Deventer and became organist of the Bergkerk on 11 March; however, after only a year he left for Hamburg again, this time to become Scheidemann's assistant. When the older composer died in 1663, Reincken succeeded him at St. Katharine's. In 1665 he married one of Scheidemann's daughters, and their only child Margaretha-Maria was born three years later. The composer kept his position at St. Katharine's until his death in 1722, although in 1705 some of the church elders attempted to appoint Johann Mattheson as Reincken's successor. Unlike many other contemporary organists, Reincken died wealthy. In his lifetime he was heralded as one of the best organists in Germany; he knew Dieterich Buxtehude closely and influenced Vincent Lübeck and Johann Sebastian Bach. The latter may have met him; a well-known apocryphal anecdote describes how Reincken and Bach met, and how, after Bach improvised a lengthy fantasia on the Lutheran chorale "An Wasserflüssen Babylon", Reincken remarked: "I thought that this art was dead, but I see that it lives in you." Christoph Wolff adds as a further detail of this visit by Bach to Hamburg in 1720, that on that occasion he performed the organ fugue BWV 542, the theme of which is based on a Dutch popular tune, presumably as an homage to Reincken's Dutch origin. At any rate, Bach was evidently deeply impressed by Reincken's music, arranging several of the works from Hortus musicus. In 2006, the earliest known Bach autograph was discovered in Weimar: a copy of Reincken's An Wasserflüssen Babylon, which Bach made for his then teacher Georg Böhm in Lüneburg in 1700. , ca. 1700. St. Catherine's Church is visible in the background.
