The draft, seen by Reuters, did not say if the new structure for the levy raises the required 5.8 billion euros ($7.52 billion) European officials have demanded in return for 10 billion euros in aid.
The bill sets a zero percent levy on deposits of up to 20,000 euros, a 6.75 percent rate for amounts between 20,000 and 100,000 euros and maintains a 9.9 percent tax on all deposits above that level.
Under a previous agreement struck by euro group finance ministers on Saturday, all deposits below 100,000 euros would have been taxed at 6.75 percent and everything above at 9.9 percent.
After an outcry in Cyprus and abroad against the move, eurozone finance ministers urged Cyprus on Monday to scrap the levy below 100,000 euros to spare small savers, and raise it instead for richer bank clients, to 15.6 percent.
But Nicosia was reluctant to agree to such a move because it fears it would scare away foreign depositors, mainly from Russia, and undermine the country’s banking-based business model.