| No. Date Tournament Winning score Margin of victory Runner(s)-up | |
| 1 3 Jun 1984 Kemper Open −8 (68-68-71-73=280) 5 strokes United States Mark O'Meara | |
| 2 1 Jul 1984 Canadian Open −10 (73-68-70-67=278) 2 strokes United States Jack Nicklaus | |
| 3 4 May 1986 Panasonic Las Vegas Invitational −27 (73-63-68-64-65=333) 7 strokes United States Dan Pohl | |
| 4 1 Jun 1986 Kemper Open (2) −11 (72-69-70-66=277) Playoff United States Larry Mize | |
| 5 20 Jul 1986 The Open Championship Even (74-63-74-69=280) 5 strokes England Gordon J. Brand | |
| 6 17 Apr 1988 MCI Heritage Golf Classic −13 (65-69-71-66=271) 1 stroke South Africa David Frost, United States Gil Morgan | |
| 7 20 Aug 1989 The International 13 points (5-4-11-13) 2 points United States Clarence Rose | |
| 8 3 Sep 1989 Greater Milwaukee Open −19 (64-69-66-70=269) 3 strokes United States Andy Bean | |
| 9 4 Mar 1990 Doral-Ryder Open −15 (68-73-70-62=273) Playoff United States Tim Simpson, United States Mark Calcavecchia, United States Paul Azinger | |
| 10 13 May 1990 Memorial Tournament Even (73-74-69=216) 1 stroke United States Payne Stewart | |
| 11 13 Sep 1992 Canadian Open (2) −8 (73-66-71-70=280) Playoff United States Bruce Lietzke | |
| 12 7 Mar 1993 Doral-Ryder Open (2) −23 (65-68-62-70=265) 4 strokes United States Paul Azinger, United States Mark McCumber | |
| 13 18 Jul 1993 The Open Championship (2) −13 (66-68-69-64=267) 2 strokes England Nick Faldo | |
| 14 27 Mar 1994 The Players Championship −24 (63-67-67-67=264) 4 strokes United States Fuzzy Zoeller | |
| 15 4 Jun 1995 Memorial Tournament (2) −19 (66-70-67-66=269) 4 strokes United States Mark Calcavecchia, United States David Duval, Australia Steve Elkington | |
| 16 25 Jun 1995 Canon Greater Hartford Open −13 (67-64-65-71=267) 2 strokes United States Dave Stockton, Jr., United States Kirk Triplett, New Zealand Grant Waite | |
| 17 27 Aug 1995 NEC World Series of Golf −2 (73-68-70-67=278) Playoff United States Billy Mayfair, Zimbabwe Nick Price | |
| 18 3 Mar 1996 Doral-Ryder Open (3) −19 (67-69-67-66=269) 2 strokes United States Michael Bradley, Fiji Vijay Singh | |
| 19 29 Jun 1997 FedEx St. Jude Classic −16 (68-65-69-66=268) 1 stroke United States Dudley Hart | |
| 20 24 Aug 1997 NEC World Series of Golf (2) −7 (68-68-70-67=273) 4 strokes United States Phil Mickelson | |