The musician - who was released from jail in February for driving under the influence (DUI) - has been accused of poking his finger into the chest of ex-girlfriend Alicia Jacobs in Las Vegas Hilton's Shimmer Lounge showroom on March 24, as well as cursing and pointing or poking at Jacobs and her friends, John Katsilometes and Patricia McCrone.
According to gossip website TMZ, the criminal complaint - which was filed last week in Clark County, Nevada - states: "Neil poked three people with his right index finger ... each time stating the words, 'f**k you.' "
Neil's lawyer, David Chesnoff, says his client will plead not guilty to the battery and disorderly conduct charges, when he appears Las Vegas Justice Court on May 2.
Chesnoff said: "There are two sides to every story, especially when there are issues surrounding relationships. We are looking forward to a trial on the matter."
Neil and Jacobs split in March after seven months of dating and she has since claimed she is scared to be in a room with him.
If found guilty, Neil, 50, could face up to 12 months in jail and a $2,000 fine.
As well as serving jail time earlier this year, in 1984 he pleaded guilty to manslaughter after he crashed his car in Redondo Beach, California, killing his 24-year-old passenger Nicholas Dingley, known as Razzle - drummer with the band Hanoi Rocks - and seriously injuring two other people.
He served just 20 days in jail and was ordered to pay $2.5 million in restitution to victims.