Yes, your score can improve even with judgements against you. Just keep paying the accounts that you do have open on time. Also, try not to have more than 30% of your available credit per accountused. This will greatly effect your score. The fact is that the older your negative accounts are the better.  However, make no mistake, having outstanding judgments will keep ouu from having the best score possible. If you can pay off these judgments, do so.