Born into a Jewish family,[1] he studied medicine at the Universities of Berlin, Bern and Zurich, earning his doctorate in 1861.
In 1902 Eulenburg penned a work on algolagnia, titled Sadismus und Masochismus (Sadism and Masochism).
Other principal writings by Eulenburg include: Many of his publications dealt with the physiological side of neurology, about which, he conducted studies involving the vasomotor centers of the brain.
He was the first to describe a rare neuromuscular condition known as paramyotonia congenita, a disorder sometimes referred to as "Eulenburg's disease".
In 1913, along with Magnus Hirschfeld (1868–1935) and Iwan Bloch (1872–1922), he founded the Ärztliche Gesellschaft für Sexualwissenschaft und Eugenik.