The new law would bar guns from being sold to individuals who are on the FBI's "no-fly" and "selectee" lists.
Top court may decide this week whether to hear challenges to laws in Connecticut and New York that ban semiautomatic weapons.
Votes on four bills are scheduled for the Senate with 71 percent of Americans favoring new gun regulations, according to new poll.
Trump first called for surveillance of mosques in November, as well as a database of Syrian refugees entering the U.S.
Republicans and the NRA are under pressure to respond to the worst mass shooting in modern U.S. history.
Trump tweeted that he wants to discuss "not allowing people on the terrorist watch list, or the no-fly list, to buy guns."
After the worst mass shooting in U.S history, McConnell said he was open to suggestions from experts on legislation that could address the problem.
Florida Senator and former presidential candidate also said gun control not the right approach.
Marion Hammer is the NRA's most effective lobbyist. Case in point: the battle over Sawgrass Lake Park.
One of the victims in the massacre was a 38-year-old mother of five.
Licensed retailers will still be able to advertise firearms that lead to transactions outside of Facebook's platform.
A Reuters poll found that half of Americans approve of President Obama's moves on gun control.
All dealers selling guns—whether at shows, in flea markets, on the Internet—are required to get licenses and run background checks on buyers.
Activists called for expanded background checks for firearms purchasers and for a ban on sales to people on federal watch lists.
Even in a country where more people own more guns than anywhere else in the world, Brent Nicholson's cache is extraordinary
Here's how the @NRA Twitter account engages with a mass shooting: It doesn't.
The leading Democratic presidential candidate plans to take on the NRA, the powerful U.S. gun lobby.
Up to 40 percent of firearms sales involve private parties or gun shows and do not require checks, the chiefs said.
The court upheld the bans on semiautomatic weapons and large-capacity magazines.