Assembly Speaker Sheldon Silver (D-Manhattan), whose district includes Ground Zero, said he will have a "committee ... see how exactly the law is being enforced and to look at the possibility that there should be changes in the law," the newspaper reported.
The changes could include being more lenient on people who mistakenly bring guns from other states where they are legally licensed.
Meredith Graves, 39, was arrested Dec. 22 when she tried to check her loaded .32-caliber gun in with a cop at the memorial. She had a permit to carry the gun in Tennessee, but that did not apply in New York state.
She's facing a gun possession charge that carries a minimum of three-and-a-half years in prison.
She was also accused of having cocaine, but the Post reported tests showed the powder was found to be nothing illegal.
Silver told the Post, "Her actions show a clear indication that she didn't know she was breaking the law, and when she saw [a no guns] sign, she said, 'OK, I do have a gun. Take it from me.'
"There was no criminal intent."