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

Chris Clackson (born 1987), American ice hockey player James Clackson (born 1966), British linguist Colin Clackson (born 1958), Canadian federal judge Kim Clackson (born 1955), Canadian ice hockey player Terry Clackson (born 1953), Canadian federal judge Matt Clackson (born 1985), Canadian-born American ice hockey player Sarah Clackson (1965–2003), British Coptologist William Clackson (c.1799–?), Scottish shoemaker and revolutionary