The so-called Lautenberg amendment to the 1968 Gun Control Act disqualifies people with a misdemeanor conviction for domestic violence from buying or owning weapons.
Researchers found that gun murders of female intimate partners decreased by 17% as a result of the amendment.
Laws that call for longer sentences for gun crimes also seem to help a little.
Gun-robbery rates have gone down in states that have approved longer sentences for assault or robbery with a gun.
In the 1970s and 1980s, there were 30 "add-on" sentencing laws calling for additional prison time for people convicted of robbery or assault with a gun.
A 40-year-analysis found that gun-robbery rates dropped by about 5% in the years after the sentencing laws were enacted.
States that have stricter gun-control laws and spend more money on education and mental-health care have fewer school shootings.
One recent study found that states with fewer school shootings tended to have stricter background checks for weapon and ammunition purchases, and also spent more money on education and mental-health care.
Though school shootings are not the most common form of gun violence, a recent spike in these types of events in the US has prompted concern. There was an average of one school shooting per year from 1966 to 2008, but an average of one per week from 2013 to 2015, the study found.
The researchers said that based on available data, it was difficult to say which factor was most important in reducing shootings in schools.
However, mental-health treatment is unlikely to be solely responsible, as people with mental illness are more likely to be a victim of violence than a perpetrator. Though about 20% of Americans have some form of mental illness, people with a serious mental-health problem account for only about 3% of violent crime.