Presumably there is some distinction as it is made in the name of the so called register of orders fines and judgments. So what is the difference?
In American English, a "money order" is a low dollar value cashier's check issued by a non-bank institution in most cases, while a "money judgment" is a court determination that someone owes money to a judgment creditor that authorizes the use of involuntary means to collect the debt. But, it appears that "money order" has a different meaning in British English.
They are similar in that they both say what a debtor must pay to a creditor and the deadline for payment.
A 'money order' is a type of court order.
Sometimes other types of court orders, e.g. 'possession orders', have a 'money judgement' attached to them.
A money order counts as a county court judgment (CCJ) and can therefore affect the debtor's credit rating.
A money judgement does not count as a CCJ.
In both cases, the creditor must return to court for enforcement if the debtor continues to fail to pay.