| 1 | 21 | June-Reg | Atlee Hammaker | P | 21 | 6-2 | 200 | B | L | MLB | 1981-1995 | East Tennessee State University | |
| 2 | 47 | June-Reg | John Skinner | P | | | | | | AA | | North Carolina State University | |
| 3 | 73 | June-Reg | Pat Sheridan | OF | 21 | 6-3 | 175 | L | R | MLB | 1981-1991 | Eastern Michigan University | |
| 4 | 99 | June-Reg | Dan Marino | P | | | | | | - | | Central Catholic (Pittsburgh,PA) | |
| 5 | 125 | June-Reg | Mickey Palmer | P | | | | | | A+ | | Cal State Fullerton | |
| 6 | 151 | June-Reg | Kenneth Pour | P | | | | | | Rookie | | New Athens (New Athens,IL) | |
| 7 | 177** | June-Reg | Craig Lefferts | P | 21 | 6-1 | 210 | L | L | MLB | 1983-1994 | University of Arizona | |
| 8 | 203** | June-Reg | Doran Perdue | 2B | | | | | | AA | | Murray State University | |
| 9 | 229 | June-Reg | Rob Townley | OF | | | | | | A+ | | Long Beach State University | |
| 10 | 255** | June-Reg | Bill Moore | OF | 18 | 6-1 | 185 | R | L | MLB | 1986-1986 | Covina (Covina,CA) | |
| 11 | 281 | June-Reg | Otis Irvin | SS | | | | | | A | | Phillips (Chicago,IL) | |
| 12 | 307 | June-Reg | Ron Krauss | P | | | | | | A+ | | Seminole (Seminole,FL) | |
| 13 | 333 | June-Reg | Ron Batter | C | | | | | | AA | | University of Miami | |
| 14 | 359** | June-Reg | Osbe Hoskins | 3B | | | | | | A+ | | Creston (Grand Rapids,MI) | |
| 15 | 385 | June-Reg | Wait Vanderbush | p | | | | | | AAA | | College of Wooster | |
| 16 | 411 | June-Reg | Johnny Barnette | OF | | | | | | Rookie | | Spartanburg Methodist College | |
| 17 | 437** | June-Reg | David Sullivan | C | | | | | | A+ | | Oklahoma State University | |
| 18 | 463** | June-Reg | John Elway | OF | 19 | 6-3 | 215 | | | A- | | Granada Hills (Granada Hills,CA) | |
| 19 | 489 | June-Reg | Daniel St. Clair | p | | | | | | AAA | | University of Kansas | |
| 20 | 515 | June-Reg | James Atkinson | 3B | | | | | | AA | | University of North Carolina | |
| 21 | 540 | June-Reg | Lawrence Grahek | OF | | | | | | A | | University of Minnesota | |
| 22 | 565 | June-Reg | Dave Luethy | SS | | | | | | AA | | University of Oklahoma | |
| 23 | 590 | June-Reg | Larry Williams | p | | | | | | AA | | Central Michigan University | |
| 24 | 614 | June-Reg | Vin Yuhas | p | | | | | | AAA | | Manalapan (Manalapan,NJ) | |
| 25 | 638 | June-Reg | Jeff Twitty | p | 21 | 6-2 | 185 | L | L | MLB | 1980-1980 | University of South Carolina | |
| 26 | 662 | June-Reg | Daniel Fischer | p | | | | | | AAA | | UNLV | |
| 27 | 685** | June-Reg | Craig Herberholz | p | | | | | | A | | Detroit Catholic Central (Novi,MI) | |
| 28 | 706 | June-Reg | Bryan Nabors | p | | | | | | - | | South Shore (Chicago,IL) | |
| 29 | 727 | June-Reg | Andrew Basten | p | | | | | | - | | Ashwaubenon (Ashwaubenon,WI) | |
| 30 | 747 | June-Reg | Mark Wakai | C | | | | | | - | | Cumberland Regional (Seabrook,NJ) | |
| 31 | 767 | June-Reg | Craig Patterson | 2B | 22 | 5-9 | 175 | R | R | AA | | Florida State University | |
| 32 | 785 | June-Reg | Ken Kurtz | p | | | | | | A+ | | Mississippi State University | |
| 33 | 803 | June-Reg | James Jones | p | | | | | | - | | Redwood (Larkspur,CA) | |
| 34 | 818 | June-Reg | Allan Garray | C | 20 | 6-2 | 210 | R | R | A | | University of Connecticut | |
| 35 | 828 | June-Reg | Reggie West | Of | 18 | 5-10 | 175 | L | R | AAA | | Santa Ana College | |
| 36 | 837 | June-Reg | Leon Vickers | Of | | | | | | - | | University of Kansas | |
| 37 | 844 | June-Reg | Greg Housner | C | | | | | | - | | Bridgeport (Bridgeport,MI) | |
| 1 | 20 | June-Sec | Duane Dewey | C-1B | 20 | 6-0 | 190 | R | R | AAA | | Louisiana State University | |
| 2 | 41** | June-Sec | David McDonald | P | | | | | | - | | Allegheny College | |
| 3 | 55 | June-Sec | David LaBounty | P | | | | | | A+ | | Yakima Valley Community College | |
| 4 | 63 | June-Sec | Gil Robison | P | | | | | | - | | Centralia College | |
| 1 | 22 | Jan-Reg | Mike Brewer | P | 19 | 6-5 | 190 | R | R | MLB | 1986-1986 | Foothill College | |
| 2 | 48 | Jan-Reg | Tim Cates | P | | | | | | AAA | | Georgia Perimeter College | |
| 3 | 74** | Jan-Reg | Alex Christy | 1B | | | | | | A+ | | | |
| 4 | 100 | Jan-Reg | Roger Patoka | C | | | | | | - | | | |
| 5 | 124 | Jan-Reg | Curt Thrasher | P | | | | | | - | | Oxnard College | |
| 6 | 147** | Jan-Reg | Mike Bielecki | P | 19 | 6-3 | 195 | R | R | MLB | 1984-1997 | Valencia Community College | |
| 1 | 21 | Jan-Sec | Jeff Schattinger | P | 23 | 6-5 | 200 | L | R | MLB | 1981-1981 | USC | |
| 2 | 42** | Jan-Sec | Dave Anderson | P | 18 | 6-2 | 191 | R | R | MLB | 1983-1992 | Arizona Western College | |