Among other measures, Trump said he will be strongly pushing for a comprehensive background checks, and increasing the age to 21 and end sale of bump stocks.
Days after 17 people were killed in a school shooting in Florida, Trump said he is seriously looking at various options to end this gun violence.
A day earlier, Trump had met victims, survivors and parents of school shooting along with officials.
The US president refuted reports that he is proposing giving guns to teachers.
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"I never said 'give teachers guns' like was stated on Fake News @CNN & @NBC. What I said was to look at the possibility of giving 'concealed guns to gun adept teachers with military or special training experience - only the best. 20 per cent of teachers, a lot, would now be able to immediately fire back if a savage sicko came to a school with bad intentions," Trump tweeted today.
Trump also said that history shows that a school shooting lasts, on average, three minutes.
"It takes police and first responders approximately five to eight minutes to get to site of crime. Highly trained, gun adept, teachers/coaches would solve the problem instantly, before police arrive. GREAT DETERRENT! (sic)" he said.
"If a potential 'sicko shooter' knows that a school has a large number of very weapons talented teachers (and others) who will be instantly shooting, the sicko will NEVER attack that school. Cowards won't go there...problem solved. Must be offensive, defense alone won't work!" Trump said.