I would suggest you to use the following :
public class Test {
    private static final Map<Integer, String> MY_MAP = createMap();
    private static Map<Integer, String> createMap() {
        Map<Integer, String> result = new HashMap<Integer, String>();
        result.put(1, "one");
        result.put(2, "two");
        return Collections.unmodifiableMap(result);
    }
}