About a dozen bump stocks were found in the room of Stephen Paddock, the gunman responsible for carrying out the deadliest mass shooting in modern U.S. history. The shooting left 58 people dead and another 500 people wounded.
Bump stocks and other devices are currently in compliance with federal law. Kasich said on “CBS This Morning” on Thursday he thinks that should be changed.
Kasich also said he would support a similar measure in Ohio, but he wasn’t sure whether it would pass.
"This makes a lot of sense to get rid of this (bump stocks),” Kasich said on CBS. “Nobody wants that, but we have to do it, not in an atmosphere where we're just operating one side.
"There has to be some common agreement that we're not after taking away people's Second Amendment rights. If you don't do it together, I don't think it gets done."
Kasich has voted in the past on a ban on assault weapons. He said it will take “people of good” from both sides to change gun legislation.
"I'll tell you what people who understand this tell me: They say you can take away all the devices -- we still know how to make it sort of automatic,” Kasich said. “What I believe has to happen is people of good will have to sit in a room and hammer something out.”