He apprenticed as a painter while attending the Royal Danish Academy of Fine Arts from 1825.
He later received a stipend from the Academy to study the excavations at Herculaneum and Pompeii in Italy.
He was commissioned to create two glass paintings for Christian IV's Chapel at Roskilde Cathedral, but they were not installed as planned and were later used in the rebuilding of Frederiksborg Castle.
[2] In 1846, Løffler succeeded Peter Kongslev as a teacher at the Academy's ornamentation school.
On 23 November 1832, Løffler married Wilhelmine Louise Ludovika Hacke (26 March 1810 - 23 February 1900), the daughter of customs officer Johann Julius Ludvig Hacke and Jacobine Christine, née Ging.