Trump has also demanded a full audit of the FBI's tip line, which botched two calls about suspected Parkland gunman Nikolas Cruz before he allegedly walked into his former high school on Valentine's Day and killed 17 people. The commission does not have a set timeline of when it will report its findings, although an official said it would be within one year.
Last week, Florida's legislature raised the age limit for buying long guns in that state from 18 to 21.
"We can't just keep setting up blue ribbon committees with your wife and your wife and your husband, and they meet and they have a meal and they talk", Trump told a campaign rally in Pennsylvania.
During the meetings, Trump also advocated arming certain teachers and school staffers, arguing that gun-free schools are "like an invitation for these very sick people" to commit murder.
Numerous student survivors have urged Washington to toughen restrictions on gun purchases, but such measures are fiercely opposed by the National Rifle Association, and the Trump plan does not include any substantial changes to gun laws.
The White House on Sunday pledged to help states pay for firearms training for teachers and reiterated its call to improve the background check system as part of a new plan to prevent school shootings in the U.S.
The administration will start working with states to provide "rigorous firearms training" to teachers and other school personnel who volunteer to be armed, said Andrew Bremberg, director of the White House Domestic Policy Council.
Sarah Huckabee Sanders, the White House press secretary, later walked back both suggestions, saying "Universal means something different to a lot of people". John Cornyn, R-Texas, and Sen.
The nation's largest teachers lobby, the National Education Association, is adamantly opposed to Trump and the NRA's controversial initiative to arm teachers. Chris Murphy, a Connecticut Democrat, which intends to improve the information going into the National Instant Criminal Background Check System.
President Trump said Thursday that he will impose tariffs of 25 percent and 10 percent on steel and aluminum imports, but reserves the "right to go up or down" in the future.
Trump has also backed a ban on "bump stocks", accessories that enable semi-automatic rifles to fire hundreds of rounds a minute.
Last, the administration wants to better integrate mental health, primary care and family services programs, and the president has ordered a full audit and review of the Federal Bureau of Investigation tip line, he said.
Responding directly to last month's gun massacre at a Florida high school, the administration rolled out a series of policy proposals that focus largely on mental health and school safety initiatives.
Trump will call on state governments to allow law enforcement officials to obtain court orders to temporarily seize guns from people reported to be unsafe, officials said.
Trump's proposed Federal Commission on School Safety aims to develop a process to evaluate and make recommendations on school safety, the administration said.
Sessions submitted to the Office of Management and Budget a proposed regulation on bump stocks.
While the congressman says the recommendations for congressional actions would be "a small, positive first step", he said he believes they are "insufficient".