If passed, the proposed laws will ban assault weapons and extended magazines from the city, as well as allow courts to temporarily take guns away from individuals deemed to pose a significant danger to themselves or others.
The proposals, which were unveiled on Friday, the sixth anniversary of the mass shooting in Newtown, Connecticut, are likely to face legal challenges from gun rights advocates, who say the city council's proposed measures are illegal.
State law says local municipalities and counties can't pass gun control measures.
City and state leaders were joined by gun violence victims and advocates to announce the measures Friday, the anniversary of the 2012 Sandy Hook Elementary School shooting.
Officials hope the bills, which will be subject to weeks of debates and hearings, can be approved by Feb. 14 -- the one-year anniversary of the mass shooting at Marjory Stoneman Douglas High School in Parkland, Florida.