Councilmen Brad Lander, Jumaane Williams and four colleagues made the request in a letter Thursday.
Bloomberg spokesman Marc LaVorgna says Bloomberg doesn't plan to do so.
The measures would create an inspector general for police and make it easier to bring suits claiming discriminatory policing.
Proponents say the legislation would make officers more accountable. Bloomberg says it would hamstring policing.
Generally, the mayor signs bills at ceremonies that include an opportunity for public comment. Occasionally, he has held off signing a bill after hearing the comments.
Vetoes sometimes are issued simply with written messages.
