Docking is a surname. Notable people with the surname include:
Alan Docking, founder of Alan Docking Racing Alfred Docking (1860–1938), missionary in the United States George Docking (1904–1964), politician in the U.S. state of Kansas Jeffrey Docking (born 1961), president of Adrian College in Michigan Jonathan Docking (born 1964), Australian rugby league footballer Robert Docking (1925–1983), politician in the U.S. state of Kansas Stanley Docking (1914−1940), English footballer Thomas Docking (1954-2017), politician in the U.S. state of Kansas Trevor Docking (born 1952), Australian cricketer