The threat by Glen Smyth, chairman of the Metropolitan Police Federation, followed the publication of a letter sent to every chief constable and their area commanders by Mr Blunkett, in which he expressed his disappointment at the 10-1 defeat by officers on Friday of proposals to reform pay and conditions and called on police chiefs to sell his proposals to the rank and file.
"I am disappointed that the leaders of the federation, both nationally and locally, failed to do what they said they would do - that is recommend the package to members," Mr Blunkett wrote in the letter.
"The time has come for the official side - Acpo (Association of Chief Police Officers), the police authorities and the government - to ensure that rank and file officers understand what a very good deal this is for all concerned."
But Mr Smyth accused the home secretary of being a bully and said that while many officers welcomed the proposals in the police reform bill, the pay offer was unacceptable.
He said the federation was drawing up plans to make a legal challenge under the European convention on human rights to overturn an 83-year-old strike ban on the police.
"He has got a hard job on his hands because all the superintendents I have spoken to don't believe the pay proposals are a good idea," Mr Smyth said. "He is behaving like a bully. This will only drive a wedge between the government and the police."
Bob Elder, chairman of the federation's constables' committee, warned of mass resignations should the home secretary force through his reform package: "Police officers may use their feet to make the decision - they'll leave the police service. That's a very real fear."
