Gerry Morrissey, Bectu's general secretary, said: "We would prefer to have a sensible conversation with BBC management about the damage done in the first year of these cuts, but instead we've had to turn up the pressure to protect thousands of members from over-work, bullying and stress.
"The BBC seems to believe that staff can continue supporting the full range of services despite a 20% reduction in resources and massive job cuts.
"Blame for low morale and insecurity in BBC workplaces rests firmly on the shoulders of managers who signed up to a six-year freeze in the licence fee in 2010.
"By committing to maintain levels of output despite a drastic reduction in real funding, they turned the BBC from a world-class broadcaster into mission impossible."
NUJ members staged a one-day strike last week in a dispute over compulsory redundancies.