Bloomberg outlined his proposals Monday at the Johns Hopkins Bloomberg School of Public Health at a summit on reducing gun violence.
The two-day summit began exactly one month after the mass shooting at Sandy Hook Elementary School in Newtown, Conn. Twenty first-graders and six adults were killed.
Bloomberg is urging President Barack Obama and Congress to increase background check requirements for firearms purchases.
He also says the federal government needs to get tougher on gun trafficking. Bloomberg says the federal government must also limit assault weapons and magazines with more than 10 rounds.
Democratic Maryland Gov. Martin O'Malley also outlined some reforms he plans to seek in Maryland. They include banning assault weapons and tougher licensing requirements.