| 1 | 1 | June-Reg | Al Chambers | OF | 18 | 6-4 | 217 | L | L | MLB | 1983-1985 | John Harris (Harrisburg,PA) | $60,000 |
| 2 | 27** | June-Reg | Jamie Allen | IF | 21 | 6-0 | 205 | R | R | MLB | 1983-1983 | Arizona State University | |
| 3 | 53 | June-Reg | Rick Adair | P | 21 | | | L | L | AAA | | Western Carolina University | |
| 4 | 79 | June-Reg | Jim Presley | SS | 17 | 6-1 | 190 | R | R | MLB | 1984-1991 | Escambia (Pensacola,FL) | |
| 5 | 105 | June-Reg | Mark Cahill | P | | | | | | AA | | Cranston East (Cranston,RI) | |
| 6 | 131 | June-Reg | Kevin King | OF | | | | | | AAA | | Chief Sealth (Seattle,WA) | |
| 7 | 157** | June-Reg | Brian Snyder | P | 21 | 6-3 | 185 | L | L | MLB | 1985-1989 | Clemson University | |
| 8 | 183 | June-Reg | Scott Stranski | P | | | | | | AAA | | Northwestern University | |
| 9 | 209 | June-Reg | Bob Randolph | P | | | | | | AA | | Arizona State University | |
| 10 | 235 | June-Reg | Chris Henry | C | | | | | | A+ | | North Central (Spokane,WA) | |
| 11 | 261 | June-Reg | Mark Batten | P | | | | | | - | | University of Miami | |
| 12 | 287 | June-Reg | Mike Codiroli | OF | | | | | | A+ | | Stanford University | |
| 13 | 313 | June-Reg | Mike Hart | OF | 21 | 5-11 | 185 | L | L | MLB | 1984-1987 | University of Wisconsin | |
| 14 | 339 | June-Reg | Joe Georger | p | | | | | | AA | | University of Kentucky | |
| 15 | 365** | June-Reg | Brian McDonough | p | | | | | | A+ | | Tottenville (Staten Island,NY) | |
| 16 | 391 | June-Reg | Charles Colby | SS | | | | | | A+ | | Westmont College | |
| 17 | 417 | June-Reg | Bud Black | p | 22 | 6-2 | 185 | L | L | MLB | 1981-1995 | San Diego State University | |
| 18 | 443 | June-Reg | Fred Belak | p | | | | | | - | | Cardinal Spellman (Bronx,NY) | |
| 19 | 469 | June-Reg | William Gaffney | SS | | | | | | A+ | | Adelphi University | |
| 20 | 495 | June-Reg | Tom Honko | p | | | | | | - | | East Central Community College | |
| 21 | 521 | June-Reg | Brian Harrison | p | | | | | | AA | | Stanford University | |
| 22 | 546 | June-Reg | John Cook | OF | | | | | | A | | Washington State University | |
| 23 | 571 | June-Reg | David Axenteld | p | | | | | | - | | Fayetteville-Manlius (Manlius,NY) | |
| 24 | 595 | June-Reg | Roy Clark | OF | | | | | | AAA | | University of North Carolina | |
| 25 | 619 | June-Reg | Kevin Sieger | p | | | | | | - | | New Mexico State University | |
| 26 | 643 | June-Reg | Jed Murray | p | | | | | | AAA | | Southern Utah University | |
| 27 | 667 | June-Reg | Dale Eiler | OF | | | | | | A+ | | Arizona State University | |
| 28 | 690 | June-Reg | Bill Martin | p | | | | | | A- | | Quinnipiac University | |
| 29 | 711 | June-Reg | Chris Hunger | p-SS | | | | | | AA | | Edgewood Regional (Atco,NJ) | |
| 30 | 732 | June-Reg | Mark Chellette | 3B-SS | | | | | | A+ | | University of Texas | |
| 31 | 752** | June-Reg | Daniel McFadden | p | | | | | | - | | Kingstree (Kingstree,SC) | |
| 32 | 771** | June-Reg | Mike Rantz | SS | | | | | | A- | | Mounds View (Arden Hills,MN) | |
| 33 | 789 | June-Reg | Edward Kolo | OF | | | | | | - | | St. Mark's Seminary (Auburn,NY) | |
| 34 | 806 | June-Reg | Jack Thompson | Of | | | | | | - | | Washington State University | |
| 1 | 15 | June-Sec | Carlos Diaz | P | 21 | 6-0 | 170 | R | L | MLB | 1982-1986 | Allan Hancock College | |
| 2 | 37 | June-Sec | Jeff Stottlemyre | P | | | | | | AA | | Yakima Valley Community College | |
| 1 | 2 | Jan-Reg | Michael Hood | C | | | | | | A+ | | Washington Academy (Greenville,MS) | |
| 2 | 28 | Jan-Reg | Don Minnick | P | | 6-3 | 210 | L | L | AA | | | |
| 3 | 54** | Jan-Reg | Carlos Diaz | P | 21 | 6-0 | 170 | R | L | MLB | 1982-1986 | Allan Hancock College | |
| 4 | 80 | Jan-Reg | Steve Lawrence | P | | | | | | A | | Yavapai College | |
| 1 | 15** | Jan-Sec | Joe Housey | P | | | | | | AA | | Miami-Dade College | |