I hope it will helpful to you.
Try this Code...
Here i store the index and value of selected spinner into SharedPreferences
private SharedPreferences prefs;
private String prefName = "spinn";
final List<String> list=new ArrayList<String>();
list.add("Item 1");
list.add("Item 2");
list.add("Item 3");
list.add("Item 4");
list.add("Item 5");
final Spinner sp1= (Spinner) findViewById(R.id.spinner1);
ArrayAdapter<String> adp1=new ArrayAdapter<String>(this,
                android.R.layout.simple_list_item_1,list);
adp1.setDropDownViewResource(android.R.layout.simple_spinner_dropdown_item);
sp1.setAdapter(adp1);
sp1.setOnItemSelectedListener(new OnItemSelectedListener()
{
    @Override
    public void onItemSelected(AdapterView<?> arg0, View arg1,
                    int position, long id) {
    // TODO Auto-generated method stub
    int pos1=position;
    String str1=sp1.getSelectedItem().toString();
    prefs = getSharedPreferences(prefName, MODE_PRIVATE);
    SharedPreferences.Editor editor = prefs.edit();
    //---save the values in the EditText view to preferences---
    editor.putInt("index", pos1);
    editor.putString("value", str1);
    //---saves the values---
    editor.commit();
    }
    @Override
    public void onNothingSelected(AdapterView<?> arg0) {
    // TODO Auto-generated method stub
    }
});
To get that value into another java file, inside that java file write below code where ever you need it..
        prefs = getSharedPreferences(prefName, MODE_PRIVATE);
        int pos=prefs.getInt("index", (Integer) null);
        String value=prefs.getString("value", "");