The Democratic presidential hopeful proposes abolishing legislation that protects gun makers and dealers from being sued by shooting victims.
Hillary Clinton also vowed to use executive powers as president to expand background checks at gun shows and ban domestic abusers from purchasing guns.
The issue of gun control is a hugely divisive issue in the US.
Hillary Clinton’s announcement comes after a deadly shooting at Umpqua Community College in Roseburg, Oregon, last week left eight students and a teacher dead.
She told a rally in New Hampshire: “I will try every way I can to get those guns out of the hands of people who shouldn’t have them.
“We need to prevent these kinds of terrible crimes that are happening.”
Hillary Clinton’s stance means she is going further in toughening the law than her Democratic rival Bernie Sanders, who has called for “sensible gun-control legislation”.
The father of the gunman, Christopher Harper Mercer, who killed himself during an exchange with police, has called for more gun control in the US.
“I’m not trying to say that that’s to blame for what happened, but if Chris had not been able to get hold of 13 guns, this wouldn’t have happened,” he told CNN.
Republican rivals insist that restricting gun access will not do anything to prevent mass shootings.
Jeb Bush said “more government” is not the answer to tragedies.
“There’s always a crisis and the impulse is always to do something, and it’s not necessarily the right thing to do,” he said.
Donald Trump said the shooting was “another mental health problem”.
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