Two offices will be shut in Glasgow, impacting more than 640 staff, while the raft of closures will also see offices shut in locations including Peterborough, Cardiff and Bristol.
RBS is a major employer in Yorkshire, with major bases in Leeds and Doncaster - both of which appear to have escaped today's cuts.
The part-nationalised bank delivered the blow to staff this afternoon as part of a previously announced move to shed jobs at the insurance division, which it was ordered to sell by the European Commission by 2013.
It said the offices will be shut over the next three years, although some are closing as soon as the fourth quarter of this year.
RBS hopes to redeploy staff where possible, with some employees transferred to nearby offices where there are more than one in the same location.
More than 400 job losses are expected from the closure of the bank's Atlantic Quay and St Vincent Street offices in Glasgow, although around 200 staff are likely to be redeployed.
About 660 staff are also being impacted by the Peterborough closure and another 480 in Bristol.
RBS - 83% owned by the taxpayer - said in May that 2,000 jobs would go at its insurance arm, which includes the Direct Line, Green Flag, Churchill and Privilege businesses and employs 16,000 people.
The group speeded up the plans after the European Commission said it must sell 318 branches as well as the insurance business to soothe competition concerns following its Government bail-out.
Rob MacGregor, national officer at trade union Unite, said: "RBS staff are continuing to pay the price for the bank's failure with their jobs.
"They are trying to do the best job they can during a hugely stressful period of uncertainty.
"Unite is calling on RBS to come clean with staff and clarify the impact of the restructuring and end the uncertainty. Unite will hold RBS to account over any compulsory job losses that result."
Of the 14 insurance sites being closed, two of three are being shut in Birmingham, one in Cardiff, two in Croydon, two in Bristol, one in Farnham, two in Glasgow, one in Ipswich, one in Manchester, one in Peterborough and one in Romford, Essex.
RBS said: "The EU decision requiring the sale of the RBS Insurance business has accelerated our plans for cost savings and having to cut jobs is the most difficult part of this process.
"At this stage it is too early to say how many role reductions this will involve, but we will do all we can to support our staff, offer redeployment opportunities where possible and to keep compulsory redundancy to an absolute minimum."
The insurance job cuts come as it reins in costs to ready the business to offload.
RBS has already reached a deal to sell 318 bank branches to Spanish banking giant Santander for a premium of 350 million on the value of the assets.
However, the group is yet to put the insurance operation on the sale block.
It is looking at a potential flotation or trade sale, expected next year or in 2012.
RBS has already said it aims to reduce the number of roles in the group by a mammoth 23,100 globally.
Around 17,100 of these will be in the UK.