| 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 |