Johann Paul Geycke (1726 – 1804 in Hamburg) was a Hamburg organ builder of the 18th century. Geycke ran his own workshop in Hamburg. (1748–1806) was his journeyman. From 1765 onwards, Geycke succeeded in persuading the itzehoer organ builder (1735–1787) from Hamburg. His son (1768–1840) continued his father's workshop. His grandson was the Hamburg organ builder (1830–1897), his son-in-law the organ builder Balthasar Wohlien (1745–1804) from the well-known Altonaer family of organ builders.