He married on 9 Jule 1760 to Mette Helene Tersling (died 29 August 1770). After her death, on 22 February 1775, he married Laurentia Hofgaard (8 April 1755 – 5 August 1841), daughter of justitsråd and vice mayor of Copenhagen Gerhard Hofgaard and Margrethe née Moss. Hincheldey was awarded the title of justitsråd in 1784. He died on 7 January 1793.[1]
His former townhouse in Slotsgade housed Nykøbing Latin School from 1808 to 1953 and was later used as police station from 1957 to 2007. It has now been converted into apartments. The building was listed in the Danish registry of protected buildings and places in 1945.[2] In 1809, his widow sold Orupgård to Charles August Selby.[3]