How the noun “program” is spelled will depend on which country you reside or where the printed material you are reading originated or was published. In the United States and in countries that use American English, the prevailing spelling is “program” for the noun that means a brief and usually printed outline of the order to be followed, of the features to be presented, and of the persons participating in a public performance. In Great Britain and in the British Commonwealth countries, however, the spelling variant “programme” is chiefly used for that word. It’s therefore incorrect to say that “programme” is a misspelling of “program”; what your computer’s spell-check program will tell you will depend on whether it’s programmed for American English or British English. That’s really all there is to it.
