Kelab

• Boca Juniors
  • Primera División: 1981

• FC Barcelona
  • Copa del Rey: 1983
  • Copa de la Liga: 1983
  • Piala Super Sepanyol: 1983

• SSC Napoli
  • Serie A: 1987, 1990
  • Coppa Italia: 1987
  • Capocannoniere: 1988
  • UEFA Cup: 1989
  • Piala Super Itali: 1990

Kebangsaan

• Argentina
  • Kejohanan Belia Dunia FIFA: 1979
  • Piala Dunia FIFA: 1986
  • Piala Dunia FIFA 1990: Naib juara
  • Piala Artemio Franchi: 1993
  • Piala FIFA ulang tahun ke-75: 1979

Individu

• Bola Emas untuk Pemain Terbaik Piala Dunia B-20 FIFA: 1979
• Argentine league Top Scorer: 1979, 1980, 1981
• Argentine Football Writers' Footballer of the Year: 1979 — 1981, 1986
• South American Footballer of the Year (El Mundo, Caracas):1979, 1986, 1989, 1990, 1992
• Argentine Sports Writers' Sportsman of the Year: 1986
• Golden Ball for Best Player of the FIFA World Cup: 1986
• Best Footballer in the World (Once): 1986 — 1987
• World Player of the Year (World Soccer Magazine): 1986
• Serie A Top Scorer: 1987/1988
• Golden Ball untuk khidmat kepada bola sepak (France Football): 1996
• Argentine Sports Writers' Sportsman of the Century: 1999
• "FIFA best football player of the century", people's choice: 2000
• "FIFA Goal of the Century" (1986 (2–1) v. England; gol ke-2): 2002
• Penghargaan pencapaian sepanjang hayat "Domingo Faustino Sarmiento" Senat Argentina: 2005

Kerjaya Jurulatih

• Mandiyú de Corrientes (1994)
• Racing Club de Avellaneda (1995)
• Pasukan kebangsaan Argentina (2008–2010)