The union's call to action comes after it failed to agree a national pay increase with the BPIF for the second year running.
In addition to putting the 2005 Partnership At Work (PAW) agreement in jeopardy, this decision has led the union to mandate its chapels to negotiate their own pay increases.
In a letter to all its members signed by assistant general secretary Tony Burke, Unite said: "The BPIF position last year was that as the Retail Price Index was in the negative, there should be no increase. Following the BPIF's logic, the claim should be an increase in wages of 3.7%, which is the current Retail Price Index."
In addition, the letter claims some employers have already come to agreements over pay, with rises ranging from 1-3%.
Unite national officer Steve Sibbald said the union would continue to push for the national pay agreement to return in order to preserve the PAW agreement.
"Our whole objective is to save the national partnership. It took a lot of time and money to get the agreement in place and, if we are complacent, the partnership is buried," he said.
"We think it is worth fighting for - it promises to deliver so much, but that won't happen overnight. It is a unique progressive agreement that can do so much for this industry. Yet, the first time we reach trouble and have a chance to work through a problem together, the BPIF turn up with a mandate."
The BPIF has reiterated that is also sees a future in the partnership, but insisted that some members were not in a position to implement a pay increase this year, because of the recession.
Corporate affairs director Andy Brown said: "The majority of our members are clear they can not afford an increase at this time and inflation is not going to change that. It could be 13.5%, but it doesn't change the situation we are in.
"We cannot generalise. Some companies will be in a position to implement an increase and indeed many have. But that does not make a case for a nationwide agreement. In principal, our members still support the partnership, what we are saying this year is a difficult time and some hard decisions have to be made."
