A minimum balance requirement is a stated balance a depository institution requires in an account as a condition of something. Regulation DD, the federal deposit-disclosure rule, uses the term in the plural for good reason: at 12 CFR 1030.4(b)(3)(i)(A) it requires an institution to disclose "any minimum balance required to" do three distinct things, namely to open the account, to avoid the imposition of a fee, and to obtain the annual percentage yield disclosed. Those are three different numbers on the same account, and they are frequently three different amounts.
The provision has a second half that matters more than it looks. Under 1030.4(b)(3)(i)(B), except for the balance needed to open the account, "the disclosure shall state how the balance is determined for these purposes." So an institution may not simply publish a threshold. It has to say what it measures against that threshold, and as the sections below show, that choice is often worth more money than the threshold itself.