It depends on whether you have a savings account with variable or fixed interest rate. Savings accounts with variable interest rate have unlimited deposits. For fixed-rate savings accounts, you can only make a deposit when the account is opened. If you want to make additional deposits to a fixed-rate account after you have opened it, you can open a new account with the desired term. If you try to make additional deposits to an account with fixed-rate, the money will either be placed in a savings account with variable interest rate or paid back to your registered withdrawal account.