ALBANY — Governor Paterson introduced legislation yesterday that would allow the state to tell the FBI if a New Yorker trying to buy a gun has been involuntarily committed to a mental health facility.

The proposal would disqualify those applicants from getting a gun, but federal law would require states to create a way for people to apply to remove their name from the registry. The legislation is a reaction to the Virginia Tech tragedy last year, when a mentally ill student shot 32 people dead, then killed himself.

“It’s important to try to continue to stem the violence associated with guns, and this hasn’t really been on many people’s radar screens this session,” the state’s deputy secretary for public safety, Michael Balboni, said. “The governor thinks it’s high time this is on our radar screen.”

The Democrat-led state Assembly passed a similar measure last month and issued a statement yesterday urging the Senate to act on several other gun safety bills the Assembly has already approved. Senate Republicans declined comment except to say they will look at the bill, but haven’t seen it yet.

Mr. Paterson’s proposal would also require state and local law enforcement agencies to give state police certain crime scene ballistic evidence related to a homicide, an attempted homicide, or a conspiracy to commit a homicide.

The National Rifle Association did not immediately return calls for comment.