I would like to create a flash game for the world to play. I have my own Arcade website , but i would like to get traffic by making games and advertising my game website in my games. So the question is how can i make flash games?
You need to learn Actionscript. There are many tutorials online about how to create various types of games. You'll have to have ideas and the time to turn your ideas into games. I'm sure that once you get started, you will enjoy the world of Flash game designing! Also, I have a Skeet shooting game for sale if you are interested. I am also a Flash game designer.
You can start from here with a very simple flash game : http://www.gameinnovator.com/quickflashgame.php Or try Lynda tutorials for AS 3.0 - that would help also
As ViolentAJ said above, you should learn ActionScript. Go here and start reading tutorial, try, try and try. active.tutsplus.com/- Flash tutorials. active.tutsplus.com/category/tutorials/games/ - Useful tutorials on developing flash games. hope it helps.
When you will be good with graphic and Flash programing, you need also get knowledge about propagation of your games, publish it on good big games servers is not easy, they are expecting high quality.