| 1 | 1 | June-Reg | Floyd Bannister | P | 21 | 6-1 | 203 | L | L | MLB | 1977-1992 | Arizona State University | $100,000 |
| 2 | 25 | June-Reg | Phil Klimas | 3B | | | | | | AA | | Saint Xavier University | |
| 3 | 49 | June-Reg | Reggie Baldwin | C | 21 | 6-1 | 195 | R | R | MLB | 1978-1979 | Grambling State University | |
| 4 | 73 | June-Reg | Jim Pankovits | 3B | 20 | 5-10 | 175 | R | R | MLB | 1984-1990 | University of South Carolina | |
| 5 | 97** | June-Reg | Joe Isaacs | P | | | | | | AA | | Asher (Asher,OK) | |
| 6 | 121 | June-Reg | Douglas Jackson | P | | | | | | A+ | | Madison (Houston,TX) | |
| 7 | 145 | June-Reg | Tom Wiedenbauer | OF | 17 | 6-1 | 180 | R | R | MLB | 1979-1979 | Sahuaro (Tucson,AZ) | |
| 8 | 169 | June-Reg | Dave Smith | P | 21 | 6-1 | 195 | R | R | MLB | 1980-1992 | San Diego State University | |
| 9 | 193 | June-Reg | George Ploucher | P | | | | | | AA | | Middle Tennessee State University | |
| 10 | 217 | June-Reg | Jerry Williford | C | | | | | | - | | University of Houston | |
| 11 | 241 | June-Reg | Gary Rajsich | 1B-OF | 21 | 6-2 | 210 | L | L | MLB | 1982-1985 | Arizona State University | |
| 12 | 265 | June-Reg | Ronnie Estes | P | | | | | | - | | Boise State University | |
| 13 | 289 | June-Reg | Charles Gardner | SS | | | | | | AA | | John Brown University | |
| 14 | 313 | June-Reg | Randolph Lamb | SS | | | | | | A+ | | Ouachita Baptist University | |
| 15 | 337** | June-Reg | Ronald Lee | SS | | | | | | A+ | | Sharpstown (Houston,TX) | |
| 16 | 361 | June-Reg | Jimmy Johnson | OF | | | | | | - | | Rayburn (Pasadena,TX) | |
| 17 | 385 | June-Reg | Bert Roberge | p | 21 | 6-4 | 190 | R | R | MLB | 1979-1986 | University of Maine | |
| 18 | 409 | June-Reg | Steve Lerner | p | | | | | | - | | Miami-Dade College | |
| 19 | 433** | June-Reg | Mike Villegas | p | | | | | | AA | | East (Phoenix,AZ) | |
| 20 | 457 | June-Reg | Jeff Ellison | OF | | | | | | AA | | San Diego State University | |
| 21 | 481 | June-Reg | Randy Rouse | C | | | | | | AA | | John Brown University | |
| 22 | 505 | June-Reg | Dennis Miscik | p | | | | | | AAA | | Indiana University of Pennsylvania | |
| 23 | 528 | June-Reg | Thomas McCann | 1B | | | | | | - | | Washington Township (Sewell,NJ) | |
| 24 | 549** | June-Reg | Doug Welenc | p | | | | | | AA | | Greenfield (Greenfield,MA) | |
| 25 | 569 | June-Reg | Steven Mueller | OF | | | | | | - | | Hondo (Hondo,TX) | |
| 1 | 7 | June-Sec | Robert Healey | P | | | | | | A+ | | St. Louis Community College-Meramec | |
| 2 | 30** | June-Sec | Ron Musselman | P | 21 | 6-2 | 185 | R | R | MLB | 1982-1985 | Clemson University | |
| 1 | 2 | Jan-Reg | Gary Wilson | P | 21 | 6-2 | 185 | R | R | MLB | 1979-1979 | Southern Arkansas University | |
| 2 | 26** | Jan-Reg | Thomas Offerman | P | | | | | | - | | Nassau Community College | |
| 3 | 50** | Jan-Reg | Mark Post | P | | | | | | - | | Keystone College | |
| 1 | 18** | Jan-Sec | Rodney Feight | P | | | | | | - | | Indian River State College | |
| 2 | 42 | Jan-Sec | Randy Wallace | 3B-OF | | | | | | - | | University of Tennessee | |
