Schleswig-Holstein-Sonderburg-Glücksburg was a line of the house Schleswig-Holstein-Sonderburg, a branch line of the House of Oldenburg from 1622 to 1779.
The line was founded by the partitioned-off duke Philip of Schleswig-Holstein-Sonderburg-Glücksburg (1584–1663). The line was named after Glücksburg Castle, where he had his headquarters.
Members of this line bore the title of Duke of Schleswig-Holstein-Sonderburg-Glücksburg, but had limited powers in ruling their territories, as it was not an estate of the Realm, but subset of the Duchy of Holstein-Gottorp. Later the family gave up these rights altogether and continued as titular Dukes.
Some years after the death of Frederick William Henry, the title went via King Frederick VI to Frederick William of Schleswig-Holstein-Sonderburg-Beck, who founded the younger line of Schleswig-Holstein-Sonderburg-Glücksburg.