Dockrell is a surname. Notable people with the surname include:
Hazel Dockrell (born 1952), Irish-born microbiologist and immunologist Henry Morgan Dockrell (1880–1955), Irish Cumann na nGaedhael and Fine Gael party politician Marguerite Dockrell (1912–1983), Irish swimmer Maurice Dockrell (Unionist politician) (1850–1929), Irish businessman and politician from Dublin Maurice E. Dockrell (1908–1986), Irish Fine Gael party politician Percy Dockrell (1914–1979), Irish Fine Gael party politician George Dockrell, Irish cricketer