Gottlieb Bindesbøll was born in Ledøje, a village 20 km west of Copenhagen. He first trained as a windmill builder with the intention of becoming an engineer. Simultaneously, from 1817 to 1823, he was taking night classes at the Royal Danish Academy of Fine Arts to learn to draw.
Back in Denmark, Bindesbøll starting working as a resident architect for royal building inspector Jørgen Hansen Koch. He also continued his studies at the Academy until 1833, when he won the Academy's large gold medal.
To Rome and beyond
With the large gold medal came a travel scholarship and in 1834 Bindesbøll set out on a four-year journey to Rome, visiting Berlin, Dresden and Munich on the way. In Rome he joined the Danish artists' colony which, with Bertel Thorvaldsen as it central figure, resided in the city during those years. He also visited Southern Italy and, together with painter Martinus Rørbye, one of the compatriots he met in Rome, he continued to Greece the following year. In Athens he had the opportunity to study the polychromy of the Acropolis temples which Gau had first introduced him to more than a decade earlier. Bindesbøll and Rørbye also visited Constantinople in the Ottoman Empire before returning to Rome in 1836.
During his stay in Rome Bindesbøll collected a store of antique decorations. He was interested in simple, powerful geometric patterns such as floor mosaics.
Thorvaldsens Museum
In 1833, there was talk in Copenhagen of establishing a museum for the Danish sculptor, Bertel Thorvaldsen, if he would agree to bequeath his collections to his homeland. Jonas Collin, an active art and culture official under Frederik VI, awakened the King's interest in a museum for Thorvaldsen and asked Bindesbøll (Collin's nephew) to make some sketches for the building whose location had not yet been decided. Bindensbøll's designs ultimately stood out from other architects' competing for the commission to transform the Royal Carriage Depot and Theatre Scenery Painting Building into a museum dedicated to Thorvaldsen.
Bindesbøll liberated the building from its surroundings, just as Thorvaldsen had liberated sculpture from architecture. He emulated the construction of the Erechtheion and the Pantheon as freestanding buildings designed to be seen from a diagonal point of view, released from traditional urban plan of closed street courses. This new, free perception of space served as a guiding principle for the cities and buildings of the future (Lange, Bente, and Jens Lindhe. Thorvaldsen's Museum: Architecture, Colours, Light. Copenhagen: Danish Architectural Press, 2002)
Late career
In 1847, Bindesbøll was appointed Royal Building Inspector in Holstein and from 1849 in Jutland.
In 1851, he returned to the Danish capital when he was appointed Royal Building Inspector in Copenhagen. For the Royal Danish Society of Medicine he designed an area of terraced houses later known as Brumleby, which was to provide good, healthy housing for the lower classes, and set a standard for later, similar developments. His last major project in Copenhagen was the Royal Veterinary and Agricultural University's main building in Frederiksberg, which was built from 1856 to 1858.
He was made a titular professor in 1853 and a professor at the Art Academy in Copenhagen in 1856 but died shortly after, on 14 July 1856.