If you declare a global variable:
public class MainActivity extends Activity {
    private String url = "http://url.com";
    @Override
    public void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.main);
        new DownloadFilesTask().execute();
    }
    private class DownloadFilesTask extends AsyncTask<Void, Void, Void> {
     protected Long doInBackground(Void... params) {
        // You can use your 'url' variable here
        return null;
     }
     protected void onProgressUpdate(Void... result) {
        return null; 
     }
     protected void onPostExecute(Void result) {
     }
   }
}
if you work in seperate classes:
new MyAsyncTask("Your_String").execute();
private class MyAsyncTask extends AsyncTask<Void, Void, Void> {
    public MyAsyncTask(String url) {
        super();
        // do stuff
    }
    // doInBackground()
}