"If school shield had been in place, (it's) far less likely that would have happened," North said, referring to an NRA programme that was introduced in the wake of the 2012 Sandy Hook School shootings and addresses best practices in security infrastructure, technology, personnel, training and policy.
There was a risk, North said, in "treating symptom without treating the disease." And the disease, he said, isn't the Second Amendment.
Santa Fe High School was considered a hardened target, with an active-shooter plan and two armed police officers on patrol. Last northern autumn, school district leaders made plans to eventually arm teachers and staff under the state's school marshal programme.
North, 74, is a high-profile choice to lead the NRA, which has faced mounting criticism since the Valentine's Day shooting at Marjory Stoneman Douglass High School in Parkland, Florida, in which a gunman killed 17 people.
North, who previously appeared to criticise student activists who have been pushing for gun control, said today that they "are being used by forces far bigger than they are," including former New York Mayor Michael Bloomberg and financier and philanthropist George Soros.
"I was not criticising those kids," said North, who has said that the NRA was the victim of "civil terrorism"
Texas Lieutenant Governor Dan Patrick, (R), blamed what he deemed the social acceptance of abortion and violent video games for the epidemic of school gun violence.
"Should we be surprised in this nation? We have devalued life, whether it's through abortion, whether it's the breakup of families or violent movies and particularly violent video games, which now outsell music and music," he said on ABC.
"Psychologists and psychiatrists will tell you that students are desensitised to violence and have lost empathy to their victims by watching hours and hours of violent video games."
Patrick also pointed to the bullying between adults and children on social media platforms. "We have to look at ourselves," he continued. "It's not about the guns, it's about us."
When asked about gun regulation, he said the responsibility starts at home and suggested that a crime may have been committed if the shooter in Santa Fe was able to take possession of his father's firearms. "Gun control starts at home - accountability for gun owners," he said. "We need the best background checks we have. We need to be very sensible about this."
Santa Fe High School was moving forward with a plan to arm teachers, which is legal under Texas law, at the time of the shooting. Patrick said he had talked to students who said the shooting might have been stopped if one of the teachers, a former Marine, had been carrying a gun. A school resource officer and a school district police chief had engaged the shooter.
He also suggested staggering start times at schools so that students could be funnelled through just one or two entrances, a move that could allow law enforcement to more easily detect weapons.
"We cannot sit back and say it's the gun," Patrick said. "It's us as a nation."
At one point during the interview, ABC host George Stephanopoulos noted that violent video games are played by teenagers all over the world but that the United States, which has far more guns in circulation, was unique in its high rate of school gun violence.
"I can't compare one country with another country, because there are many variables in all these countries," Patrick said. "Here's what I know: We live in a violent culture that devalues life. Kids go to schools that are not as safe as government buildings."
Patrick was followed by the parents of victims of gun violence, who weighed in on his suggestions.
"I think those are the most idiotic comments I have ever heard regarding gun safety," said Fred Guttenberg, whose daughter, Jaime, 14, was killed in the February shooting in Parkland. "He should be removed from office."
Senator Bernie Sanders, (I), took aim at the NRA on the issue of why Congress has not addressed gun violence.
"It's a three-letter word," Sanders said. "It's the NRA, and it's Trump and the Republicans who don't have the guts to stand up to these people."
North was followed on Fox News by retired Nasa astronaut and gun-control activist Mark Kelly, whose wife, former congresswoman Gabrielle Giffords, was critically injured in a 2011 attack in Tucsonin which six people were killed.
Kelly agreed that schools had to offer students better protections but said more had to be done to prevent the proliferation of guns and to make sure that irresponsible people and criminals "can't get the gun in the first place."
"There are things that work," said Kelly, who described himself as a hunter who keeps his guns locked in a safe and advocated legislation that requires parents to safely store firearms.
Kelly, who said he owns eight guns, co-founded with Giffords a mission "to encourage elected officials to stand up for solutions to prevent gun violence and protect responsible gun ownership."
The student gun-control activists who have spoken out since the Parkland shooting, he said, are "motivated, smart, articulate and angry." And, he continued, they have "a right to be angry."
The problem, Kelly said, is "not because we don't have enough guns."
If that were the issue, the United States would be the safest country in the world, Kelly said,