List of heads of state 1031

Africa

China
- Liao (in North China)
  - Emperor : Shengzong (982-1031)
  - Emperor: Liao Xingzong (1031-1055)
- Northern song
  - Emperor : Renzong (1022-1063)
- Xi Xia
  - Emperor : Tàizōng (1005-1031)

India
- Western Chalukya (in the West Indies)
  - King : Rajaraja Narendra (1018-1061)
- Chola (in South India)
  - King : Rajendra I. (1014-1044)
- Cashmere ( Lohara Dynasty )
  - King : Ananta Deva (1028-1063)
- Pratihara
  - King : Jasapala (1027-1036)

Iran
- Old Untaschiden
  - Ruler: Abu Said Altun-Tash (1017-1032)
- Buyiden
  - Ruler of Fars and Khuzistan : Imad ad-Din Abu Kalidschar (1024-1048)
  - Ruler of Kirman : Imad ad-Din Abu Kalidschar Marzuban (1028-1048)
- Ghaznavids
  - Ruler : Muḥammad (1030-1031)
  - Ruler: Masʿūd I (1031-1041)

Korea
- Goryeo
  - King : Hyeonjong (1009-1031)
  - King: Deokjong (1031-1034)

Caliphate of the Muslims
- Caliph : al-Qādir bi-'llāh (991-1031)
- Caliph: al-Qa'im (1031-1075)

Denmark
- King : Canute II the Great (1018-1035) (1016-1035 King of England), (1028-1035 King of Norway)

England
- King : Canute the Great (1016–1035) (1018–1035 King of Denmark), (1028–1035 King of Norway)

France
- King : Robert II (996-1031)
- King: Henry I (1031-1060)
- Anjou
  - Count : Fulko III. (987-1040)
- Aquitaine
  - Duke : Wilhelm VI. (1030-1038)
- Auvergne
  - Count : Robert I. (1016-1032)
- Brittany
  - Duke : Alain III. (1008-1040)
- Burgundy (Duchy)
  - Duke : Heinrich (1016-1032) (1031-1060 King of France)
- Burgundy (Free County)
  - Count Palatine : Rainald I (1026-1057)
- Maine
  - Count : Herbert I. (1015-1032 / 35)
- Normandy
  - Duke : Robert I (1027-1035)
- Toulouse county
  - Count : Wilhelm III. (960-1037)

Holy Roman Empire
- Roman-German King : Konrad II. (1024-1039) (from 1027 emperor )
- Bavaria
  - Duke : Henry VI. (1027-1042, 1047-1049 ) (1039-1056 Roman-German king)
- Bohemia
  - Duke : Oldřich (1012-1033)
- Flanders
  - Count : Balduin IV. (988-1035)
- Holland
  - Count : Dietrich III. (993-1039)
- Carinthia
  - Duke : Adalbero von Eppenstein (1012-1035)
- Lausitz
  - Margrave : Hodo II. (1030-1032)
- Luxembourg
  - Count : Henry VII (1026-1047)
- Meissen
  - Margrave : Hermann I. (1009-1038)
- Lower Lorraine
  - Duke : Gozelo I (1023-1044) (1033-1044 Duke of Upper Lorraine)
- Upper Lorraine
  - Duke : Friedrich III. (1026 / 27-1033)
- Saxony
  - Duke : Bernhard II. (1011-1059)
- Swabia
  - Duke : Hermann IV. (1030-1038)

Italy
- National king: Konrad II. (1027-1039)
- Amalfi
  - Duke : John II (III.) (1029-1034, 1038-1039, 1052-1069 )
- Aversa
  - Count : Rainulf Drengot (1030-1045)
- Benevento (common rule)
  - Duke : Landulf V. (987-1033)
  - Duke: Pandulf III. (1012-1050)
- Capua
  - Prince : Pandulf IV. ( 1016-1022 , 1026-1038, 1047-1050 )
- Papal States
  - Pope : John XIX. (1024-1032)
- Montferrat
  - Margrave : Wilhelm III. (991-1042)
- Naples
  - Duke : Sergius IV. (1002-1036)
- Salerno
  - Prince : Waimar IV. (1027-1052) (1039-1043 Duke of Amalfi, 1038-1047 Prince of Capua)
- Sicily ( Kalbites )
  - Emir : al-Akhal (1019-1037)
- Tuscany
  - Margrave : Boniface IV. (1027-1052)
- Venice
  - Doge : Pietro Centranigo (1026-1032)

Norway
- King : Canute II the Great (1028-1035) (1018-1035 King of Denmark), (1016-1035 King of England)

Poland
- King : Mieszko I (1025-1031) (1032-1034 Duke)
- Duke: Bezprym (1031-1032)

Spain
- Barcelona
  - Count : Berengar Raimund I. (1017-1035)
- Caliphate of Cordoba (1031 end of the Caliphate)
  - Caliph : Hisham III. (1026-1031)
- Castile
  - Countess : Munia Mayor (Muniadona) (1029-1035)
  - Count: Sancho III. of Navarre (1029-1035) ( de iure uxoris ) (1000-1035 King of Navarre)
- Leon
  - King : Bermudo III. (1028-1037)
- Navarre
  - King : Sancho III. (1000-1035) (1029-1035 Count of Castile)