By default Sharepoint 2010 will not open Flash movies (.swf) in a browser. This is true if you click a link in a library where your movie sits or if you embed it in your page.
To change that, you need to change “Browser File Handling” setting on web application.
Go to “Central Administration” -> “Application Management” -> “Manage Web Applications”.
Select your web application and click on “General Settings” button in ribbon.
Set “Browser File Handling” to “Permissive”.