Morck is a surname. Notable people with the surname include:

Fredrikke Mørck (1861–1934), Norwegian feminist, editor and teacher Martin Mörck (born 1955), Norwegian artist Niels-Peter Mørck (born 1990), Danish football player Olof Mörck (born 1981), Swedish guitarist and songwriters Sidsel Mørck (born 1937), Norwegian poet and novelist

Fictional characters with the surname include:

Carl Mørck, protagonist of the Department Q Nordic noir crime novels