Among those players are their second-round pick, infielder Jedd Gyorko of West Virginia, and another infielder, fourth-round pick Chris Bisson, out of the University of Kentucky.
Both players will begin their professional career Friday with short-season Eugene of the Northwest League.
The Padres also signed outfielder Houston Slemp (10th-round pick, Eastern Oklahoma St. Junior College) and their 12th-round pick, right-handed pitcher Christopher Franklin out of Southeastern Louisiana University.
Slemp and Franklin will join Gyorko and Bisson in Eugene.
Also Wednesday, the Padres had right-handed pitcher A.J. Vanegas, their seventh-round pick out of Redwood Christian High School in Northern California, in for a workout at PETCO Park.
Vanegas, who has committed to Stanford, threw a bullpen session before the game under the watch of Padres manager Bud Black.