Broad was fined 50 per cent of his applicable match fee for breaching the ICC Code of Conduct during the third day's play in the second Test against Pakistan at Edgbaston on Sunday for hurling the ball at the Pakistan wicketkeeper Zulqarnain Haider.
Broad was charged with a Level 2 offence under article 2.2.7 of the code, which relates to "throwing the ball at or near a player, umpire or official in an inappropriate/and or dangerous manner".
"If Stuart Broad's transgression yesterday was a one-off incident, a case of his aggression getting the better of him for the first time, then I would not have a problem with it," Hussain wrote in The Daily Mail.
"But if you take Stuart's history into account you have to say that he has been pushing things to the limit for some time," Hussain wrote.
He said it was particularly important that action was taken with 24-year-old Broad's brash behaviour because his father Chris is an ICC [ Images ] match referee.
Chris Broad reportedly had a verbal clash with the Pakistan team during the first Test against Australia [ Images ] last month at Lord's following his decision to pull Mohammad Aamer [ Images ] into line for colliding with Ricky Ponting [ Images ].
"There have been rumblings, particularly in the sub-continent, that Broad got away with petulance before now simply because his dad is a referee. It was important to nip those rumblings in the bud," wrote Hussain.
Former England seamer Derek Pringle agreed that Broad had to learn to keep his cool when he was being frustrated by the batsmen."As a fast bowler Stuart Broad likes to push up against the boundaries of acceptable aggression on a cricket field," Pringle wrote in The Daily Telegraph.