New measures include plans for the Justice Department to crack down on self-assembled "ghost guns," and make "stabilising braces" subject to registration under the National Firearms Act.
The shooter, whose motivations are so far unknown, sustained a gunshot wound and was taken to hospital, police lieutenant Jennifer Amat has said, adding the suspect was in a critical condition.
Several 2020 presidential candidates criticised US President Trump's rhetoric against immigrants and people of colour saying that it has an incredible consequence as two mass shootings left at least 29 dead in 13 hours.
With Republican control of the US Congress up for grabs in November's midterm elections, President Trump used the National Rifle Association's convention as a platform to return to rhetoric he used in 2016 to excite pro-gun voters.
Student survivors of last month's shooting at a school in Parkland, Florida are set to join thousands others in Washington in what is expected to be their biggest demonstration yet to demand reforms in gun laws.
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