The Zinn House, located at Kvæsthusgade 3, is a historic townhouse around the corner from the Nyhavn Canal in central Copenhagen, Denmark. It takes its name after the Zinn family, a wealthy family of merchants that owned it for more than 150 years. The composer Johan Peter Emilius Hartmann, who was married to Emma Sophie Amalie Zinn, a granddaughter of Johann Ludvig Zinn, lived on the second floor for more than 70 years in the period 1829–1900. The building was adapted in 1907. It was later in the century converted into offices. The building was listed on the Danish registry of protected buildings and places in 1959.

Amalia Emma Sophie Hartmann née Zinn was a Danish composer who composed under the pseudonym Frederik H. Palmer. She was married to the composer Johan Peter Emilius Hartmann (1805–1900). They lived on the second floor in the Zinn House at Kvæsthusgade 3 in Copenhagen.