Around 250 jobs are to be cut by the Royal Bank of Scotland from sites in London and Hornchurch in Essex. The union, Unite, describes the cuts as "unnecessary and avoidable".
Unite national officer Dominic Hook said: "Staff will be recruited in other parts of the country in order to do the work currently undertaken at these sites.
"While RBS state they are committed to identifying redeployment opportunities, these do not appear to be viable geographical alternatives."
The Royal Bank of Scotland reported a first quarter pre-tax profit of £826 million earlier this month.
The bank's chairman Sir Philip Hampton said he expected RBS, which is partly owned by the taxpayer, to return to the private sector in just over a year.