According to baseball's collective bargaining agreement, players are allowed up to three days for paternity leave.
To take Kennedy's place on the roster, the team recalled right-handed reliever Leonel Campos from Triple-A El Paso.
The team also announced Saturday that it reinstated catcher Tim Federowicz from the 60-day disabled list and then designated him for assignment. The Padres had to make a roster move with Federowicz on Saturday, as his allotted 20 days on a Minor League rehabilitation assignment had expired.
Federowicz had surgery in March to repair a meniscus tear in his right knee.