"We ought to hold our leaders, especially in the sports arena, to a high standard of excellence, so we send the right message," Breed said.
RELATED: Video shows San Francisco Giants CEO Larry Baer in altercation with wife
The mayor's call comes more than two weeks after Pam Baer fell out of a chair during a struggle with the Giants CEO over a cellphone in a San Francisco park.
Breed did not call specifically for Major League Baseball to suspend Baer, saying there "needs to be consequences, what those consequences are need to be determined."
RELATED: San Francisco Giants CEO Larry Baer taking leave of absence after altercation with wife
On Monday the Giants organization issued a statement saying, "We have read the very thoughtful letter and the subsequent statement from the Mayor and we value the sentiments and perspectives expressed."
Baer released statement hours after a video of the incident surfaced apologizing for his actions.
"I am truly sorry for the pain that I have brought to my wife, children and to the organization," Baer said. "It is not reflective of the kind of a person that I aspire to be, but it happened and I will do whatever it takes to make sure that I never behave in such an inappropriate manner again."
The Giants announced March 4 that Baer would take an indefinite leave of absence.
Take a look at more stories and videos about the San Francisco Giants.