Android: Accessing UI Element from timer thread

You have to create the Handler in the UI Thread, i.e. in onCreate of your Activity.

Because you create it in the run method of a background thread, the handler will execute your code in that very same background thread.

You could also initialize your Handler directly:

public class MyActivity extends Activity{

    private Handler handler = new Handler();

    //more code
}

And then don’t use runOnUIThread:

 handler.post(new Runnable() {
           public void run() {
                    // TODO Auto-generated method stub
                    Butgrp1.get(cnt).setChecked(true);
                    cnt=cnt+1;
                    if(cnt>4)
                        cnt=0;
                    if(cnt>0)
                    //  Butgrp1.get(cnt-1).setChecked(false);
                    System.out.println(cnt);
                }
            });

EDIT:
Ok try this cleaned up code. Because you did not post your full Activity this won’t work out of the box:

public class TestActivity extends Activity {

    private Button button;
    static int cnt=0;
    public ArrayList<RadioButton> buttonArray = new ArrayList<RadioButton>();
    private Timer timer = new Timer(); 

    protected void onCreate(Bundle savedInstanceState){
        super.onCreate(savedInstanceState);

        button.setOnClickListener(new OnClickListener() {

            @Override
            public void onClick(View v) {
                timer.schedule(new MyTimerTask(), 1000,2000);
            }
        });
    }


    private void doButtonStuff(){
        buttonArray.get(cnt).setChecked(true);
        cnt=cnt+1;
        if(cnt>4){
            cnt=0;
        }
        if(cnt>0){
            //  Butgrp1.get(cnt-1).setChecked(false);
            System.out.println(cnt);
        }
    }

    private class MyTimerTask extends TimerTask{

        @Override
        public void run() {        
            runOnUiThread(new Runnable() {              
                @Override
                public void run() {
                    doButtonStuff();
                }
            });
        }       
    }
}