The bank must adhere to terms of the court order for the levy of the account, and the laws relating to such can greatly differ from state-to-state.
In some states a bank account levy is for one time only, and the entire amount of funds in the account can be seized up to the full amount of the judgment. If that does not satisfy the debt, the creditor must go back to court and be granted another judgment for another levy.
In other states the account can be levied several times during a specific time period, meaning each time a deposit is made the bank must turn that money over to the judgment creditor.
Information on the specific nature of the levy can be obtained from the account manager of the bank where the levy was executed or in some instances from the clerk of the court where the judgment was entered.