Round:
Round 3
| Pick | Team | Player | Pos | School |
|---|---|---|---|---|
| 41 | Kansas City Athletics | Bob Stinson | OF | Miami Senior High School (FL) |
| 42 | New York Mets | Joe Moock | SS | Louisiana State University |
| 43 | Washington Senators | Gene Martin | OF | Dougherty Comprehensive High School (GA) |
| 44 | Houston Astros | Jim Monin | SS | University of Kentucky |
| 45 | Boston Red Sox | Ken Poulsen | 3B/OF | Birmingham High School (CA) |
| 46 | Chicago Cubs | Greg Werdick | SS | Crawford High School (CA) |
| 47 | Cleveland Indians | Ronald Constantino | P | Monson High School (MA) |
| 48 | Los Angeles Dodgers | Mike Criscione | C | Syracuse University |
| 49 | Minnesota Twins | John Dow | OF | Bemidji High School (MN) |
| 50 | Pittsburgh Pirates | Richard Hendrix | P | Princeton High School (OH) |
| 51 | California Angels | Dick Baney | P | Herbert H. Lehman (NY) |
| 52 | Milwaukee Braves | Douglas King | OF | Northeastern High School (PA) |
| 53 | Detroit Tigers | Andy Messersmith | P | University of California |
| 54 | San Francisco Giants | Ken Fila | P | Archbishop Ryan Memorial (NE) |
| 55 | Baltimore Orioles | Frank Tepedino | 1B | George Wingate (NY) |
| 56 | Cincinnati Reds | John Olagues | P | Tulane University |
| 57 | Chicago White Sox | Mickey Abarbanel | P | Monmouth College |
| 58 | Philadelphia Phillies | Billy Champion | P | Shelby High School (NC) |
| 59 | New York Yankees | Dennis Baldridge | OF | University of Oregon |
| 60 | St. Louis Cardinals | Billy Wolff | OF | University of Cincinnati |