In an interview to Australia's "Sydney Morning Herald" newspaper, Hair had branded Harbhajan, Saqlain Mushtaq and Muttaiah Muralitharan as 'role models' for 'chuckers'.
Harbhajan has not taken this comment lightly and has giving a strong reply, saying the Australian "seems to have gone mad" and has asked him to "keep his mouth shut".
Speaking to "The Asian Age" today, Harbhajan said, "This is too much. We didn't cross the limit but now Hair is "crossing the limit". "Unka dimag theekane nahi (He seems to have gone mad)."
"We were always within the permissible limit. Me and Muralitharan were cleared by the ICC more than once and why didn't Hair object to my bowling thereafter? Was it because he was feared of losing his job as an ICC umpire? We are not sons-in-law of the ICC," Harbhajan, who has taken 413 wickets in 101 Tests, added.
He continued, "The present day bowlers are trying to bowl doosra, which was invented by us. It doesn't necessarily mean they are bending arms more than the limit. The doosras can be bowled without bending the arms too much.
"The ICC has set a standard for his bowlers and using the latest technology. Hair should stop challenging the technology and better keep his mouth shut."
The 62-year-old Hair had said ICC was 20 years late in its crackdown on bowlers with illegal action. "Whatever they're doing now, they're doing 20 years too late," he told the Australian newspaper. ICC recently banned Ajmal from bowling after he his bowling action was found illegal.
"I said it in the late '90s that if something wasn't done about it you'd have a generation of chuckers on your hands and now you have. They try to emulate Harbajan Singh and Saqlain Mushtaq and Murali and that's the problem. The crackdown should have happened on those players and the ICC should have let it be known that it wasn't acceptable," he added.
In 1995, Hair had no-balled Muralithan several times for his bowling action during a Test match at Melbourne Cricket Ground (MCG).