| Tuesday, June 19th , 1962 |
| Drafted SP Larry Gifford in the 1962 first-year player draft (Round 1, Pick 13, 13th overall pick). |
| Drafted 3B Freddie Mitchel in the 1962 first-year player draft (Round 2, Pick 13, 33rd overall pick). |
| Drafted SP Bert Davis in the 1962 first-year player draft (Round 3, Pick 13, 53rd overall pick). |
| Drafted SP George Wilber in the 1962 first-year player draft (Round 4, Pick 13, 73rd overall pick). |
| Drafted C Jack Williams in the 1962 first-year player draft (Round 5, Pick 13, 93rd overall pick). |
| Drafted 2B Ethan Pennington in the 1962 first-year player draft (Round 6, Pick 13, 113rd overall pick). |
| Drafted SS Bob Miller in the 1962 first-year player draft (Round 7, Pick 13, 133rd overall pick). |
| Drafted CF Wes Conner in the 1962 first-year player draft (Round 8, Pick 13, 153rd overall pick). |
| Drafted LF Dick Fitts in the 1962 first-year player draft (Round 9, Pick 13, 173rd overall pick). |
| Drafted SP Ed Bailin in the 1962 first-year player draft (Round 10, Pick 13, 193rd overall pick). |
| Drafted SS Vince McKay in the 1962 first-year player draft (Round 11, Pick 13, 213rd overall pick). |
| Drafted SP Carl Ford in the 1962 first-year player draft (Round 12, Pick 13, 233rd overall pick). |
| Drafted C Art Gardner in the 1962 first-year player draft (Round 13, Pick 13, 253rd overall pick). |
| Drafted 1B Eddie Barrow in the 1962 first-year player draft (Round 14, Pick 13, 273rd overall pick). |
| Drafted SP Babe Chapman in the 1962 first-year player draft (Round 15, Pick 13, 293rd overall pick). |
| Drafted SP Dutch Abrams in the 1962 first-year player draft (Round 16, Pick 13, 313rd overall pick). |
| Drafted SS Ed Boyd in the 1962 first-year player draft (Round 17, Pick 13, 333rd overall pick). |
| Drafted C Joe Hughes in the 1962 first-year player draft (Round 18, Pick 13, 353rd overall pick). |
| Drafted SP Gil Martin in the 1962 first-year player draft (Round 19, Pick 13, 373rd overall pick). |
| Drafted 2B Gene Cook in the 1962 first-year player draft (Round 20, Pick 13, 393rd overall pick). |
