American spelling and usage differs from British conventions.
In the UK the spelling "programme" is more frequently employed when referring to a TV Programme, or a Programme of Work (on a project for example). UK software engineers have, however, generally adopted the US spelling when they are discussing the programs that they work with. (There is so much material coming from the US in this area that it would be hard to do anything else.)
You may, however, notice that unless you specifically load a UK English dictionary into your work processor, it will try to correct programme to program in all contexts. I have little doubt that over time the US spelling will eventually start to predominate whatever pedantic guardians of English say to the contrary. Do not take it to heart. Learn to live with either usage.