The year 1589 in science and technology included a number of events, some of which are listed here.

• Giovanni Antonio Magini's Novæ cœlestium orbium theoricæ congruentes cum observationibus N. Copernici is published in Venice, presenting a geocentric system of celestial spheres in opposition to the Copernican model.

• Establishment of a botanical garden in Basel.

• Publication of Richard Hakluyt's The Principal Navigations, Voiages, Traffiques and Discoueries of the English Nation begins.

• Publication of Oswald Gabelchover's Artzneybuch in Tübingen. This medical textbook will go through at least eight editions.
• Baldo Angelo Abati : De admirabili viperae natura et de mirificis eiusdem facultatibus^[1] published at Urbino.

• July 3 : Johann Georg Wirsung, German anatomist (died 1643).

• January – Thomas Penny, English botanist and entomologist (born 1530)
• April 7 – Julius Caesar Aranzi, Italian anatomist (born 1530)
• Probable date – Bernard Palissy, French ceramicist and hydraulic engineer (born c. 1510)