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image caption The new law would allow owners to carry handguns without a licenceTexas legislators have passed a bill which would allow most people to carry concealed handguns without a permit.
Current state rules require those carrying handguns to have a licence, training and background checks.
But Texas's Republican-run senate has voted to drop the restrictions.
The bill has been sent to Governor Greg Abbott, who has said he will sign it into law - despite warnings from gun control groups that it could endanger the public.
Texas has some of the loosest gun laws in the US and already allows rifles to be carried in public without a licence.
The new measure would allow anyone aged 21 or older to carry a handgun unless they have past criminal convictions or legal restrictions on them.
Supporters of the new rules, often known as "constitutional carry", say they would allow Texans to better defend themselves in public and abolish unnecessary limits on the constitutional right to bear arms.
"This is a simple restoration of Texans' constitutional right under the Second Amendment, a right of the people to keep and bear arms," Senator Charles Schwertner, a Republican, said on Monday, the Texas Tribune reports.
Critics say the bill puts lives at risk. Beverly Powell, a Democratic senator, raised safety concerns from some law enforcement groups that opposed the bill.
"If I sit down at a restaurant with a gentleman or a woman who has a holster on their side and a gun in it, I want to know that person is well-trained in the use of that gun," she said.
Gun control groups point to mass shootings in Texas in recent years. Two mass shootings in August 2019 killed 30 people, a shooting at a high school in 2018 left 10 people dead and 27 people were killed in a shooting at a church in 2017.
The bill would still allow businesses to ban guns on their property and keep federal background checks for some gun purchases.
After passing in a 18-13 vote in the senate on Monday, the vote will now go to Texas Governor Greg Abbott.
Gov Abbott has already indicated that he would sign the bill once it reached his desk.
"We should have 'constitutional carry' in Texas," he told local radio last month.