His father served as City Engineer in Copenhagen from 1886 to 1902 and then as Director-General of the Danish State Railways until 1915.
He was then accepted to the Royal Danish Academy of Fine Arts, graduating as an architect in 1904.
He worked for Danish architect Gotfred Tvede for six years and, at the insistence of his father, worked for Danish architect Heinrich Wenck on Copenhagen Central Station from 1904 to 1912.
Ambt travelled to Germany, Switzerland, Italy, Finland, England, France and the Netherlands during his life.
He died during construction of the Kreditkassen for Husejere i Kjøbenhavn at Rådhuspladsen 59 in Copenhagen.