I need to play video content from web in my javafx app(for win), could i solve this prolem with WebView or is there any other suitable control?
No, WebView does not support flash playback.
You could try the Flash Player from the DJ project Native Swing components. (This is not a recommendation for that project, I have never used it).
Or, you can use HostServices.showDocument to open a browser to play the flash content, letting the browser worry about guiding the user through obtaining the appropriate plugin.