If your account is already disabled, you can’t register another Adsense account using your name. However, there are 2 alternatives I can think of:

1) Open another account under a business entity.

You can set up a business entity and register another Adsense account. The advantage is you are still in full control of your Adsense account. The disadvantage is you will have to open a business account with your local bank in order to bank in the money. Depending on the bank, a substantial minimum deposit may be necessary. In Singapore, it’s $10k.

2) Use your relative’s account.

You can open another account under your spouse’s name or someone you trust. The disadvantage is the cheque will be issued to another person’s name and you have to treat that person well or…..

In both options, the best is to use a different mailing address. If it’s under the same mailing address, Google will pay special attention to the activity in that account.

Actually, not all are lost.

Once you have another account, you can put the id back to your existing sites. Your account may have been banned, but your site has not. But this time, make sure you do things right. Also, make sure that you do not put it on sites that violate Google policy or you’ll risk your account being banned again.