I’m sorry, you are wrong. Yes it is assessed for tax in France along with your world wide income - it is not a Govt Service pension per se (even though HMG pay it). You need to complete the Form France-Individual if you have not already done so in order that your tax situation re the Double Taxation Treaty is correctly handled by the HMRC. Any tax you pay in the UK is notified to the French fisc on the tax return by you. Govt Service Pensions paid by the likes of Police, Fire and Local Authority, & certain NHS are taxed rightly in the UK but the State (old age) pension is not.
There is a stayontopic thread specifically set aside for completing online tax returns in France which explains what goes in which box on the French tax return which you can consult at your leisure. There is no need to repeat the information here.
Helpfully, the guides are located here
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