Johan Georg Forchhammer (26 July 1794 – 14 December 1865) was a Danish mineralogist and geologist.
Forchhammer was born at Husum, Schleswig. After studying at the universities of Kiel and Copenhagen from 1815 to 1818, he joined Hans Christian Ørsted and Lauritz Esmarch in their mineralogical exploration of Bornholm, and took a considerable share in the labors of the expedition. In 1820 he obtained his doctoral degree by a chemical treatise De mangano, and immediately after set out on a journey through England, Scotland and the Faroe Islands. In 1823 he was appointed lecturer at Copenhagen University on chemistry and mineralogy; in 1829 he obtained a similar post in the newly established polytechnic school; and in 1831 he was appointed professor of mineralogy in the university, and in 1848 became curator of the geological museum.
From 1835 to 1837 he made many contributions to the geological survey of Denmark. On the death of Hans Christian Ørsted in 1851, he succeeded him as director of the polytechnic school and secretary of the Academy of Sciences. In 1850 he began with Japetus Steenstrup and Jens Jacob Asmussen Worsaae various anthropological publications which gained a high reputation. As a public instructor Forchhammer held a high place and contributed potently to the progress of his favorite studies in his native country. He interested himself in such practical questions as the introduction of gas into Copenhagen, the establishment of the fire-brigade at Rosenborg and the boring of artesian wells.