Order is only derived from the data structure itself. Data structures that employ an order (ie List, TreeSet, TreeMap) will have an order. Fields within objects or HashMap order isn't guaranteed. Bottom line there is no order explicitly imposed on things other than their natural order. You can try and override the default serialization Transformers to impose order if you want. You can start by subclassing ObjectTransformer and MapTransformer, and trying to impose an order.
Ordering JSON data structures seems odd since fields within objects in javascript don't have an order either. I can't imagine why this would be important to do.