Bectu and NUJ union members at the BBC were planning to strike on Thursday of this week against increased workload, compulsory redundancies and bullying.
The cuts plan at the corporation is called Delivering Quality First.
It has led to workers being overstretched and coming under increasing pressure to produce the same quality and quantity of work with fewer staff and resources.
Since the plan began in 2010 1,342 posts have gone, but there have been no changes to the levels of output.
The strike was set to begin at noon.
The votes for action in both unions were strong.
The NUJ vote was 61 percent for strikes and 80 percent for action short of a strike.
In Bectu, 56 percent voted to strike, with 81 percent voting for action short of a strike.
A strike by BBC Scotland NUJ members was called off last week.
The walkout was scheduled for Friday 22 and Monday 24 March.
But union negotiators cancelled the action as management agreed to postpone the compulsory redundancies of three workers due on 31 March.
Talks will now carry on into April. BBC Scotland workers are due to take part in Thursday’s Britain-wide strike