The mayor made that plea Saturday while speaking at a public COVID-19 vaccination clinic in southeast Houston.
"No one wants to see a minor hurt or even killed because another child got access to a gun - playing with it, not realizing it's loaded," Turner said, referencing a baby's death in west Houston on Friday reportedly by his 3-year-old brother.
SEE MORE: Baby fatally shot by 3-year-old brother, Houston police say
Under Texas law, adults who make guns accessible to children can be charged with a crime. However, an analysis by 13 Investigates shows it rarely happens.
In 55 Harris County cases between 1995 and 2019 when the law first went into effect, 30% of those charged were found guilty, and of those, only one of them served more than seven months in jail.
SEE MORE: 13 Investigates: Significant jail time rare after kids get hold of guns
"Assume" everyone has a gun, mayor says
What could be more jarring in Turner's remarks is what he said about encountering fellow Houstonians daily.
Recognizing that "there's way too many guns" out there, Turner advised Houstonians to "assume everybody's carrying a gun these days."
"If you start with that (thought), I think you'd be very careful," Turner said. "If, for example, you're driving on the street, don't get into any road rage. If somebody bumps you in the wrong way, be careful about getting into an argument with them."
He continued, "You sometimes have to just let that go. It's just not worth it."
According to the Gun Violence Archive, the U.S. has already surpassed 5,000 fatal gun deaths this year alone, with an average of 50 gun deaths each day. Of the gun deaths, 369 of them were children.